Abstract

Many results exist in the literature describing technological and theoretical advances in optical network topologies and design. However, an essential effort has yet to be made in linking those results together. We propose a step in this direction by giving optical layouts for several graph-theoretical topologies studied in the literature, using the optical transpose interconnection system (OTIS) architecture. These topologies include the family of partitioned optical passive star (POPS) and stack-Kautz networks as well as a generalization of the Kautz and the de Bruijn digraphs.

© 2000 Optical Society of America

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    [CrossRef] [PubMed]
  2. G. Yayla, P. Marchand, S. Esener, “Energy requirement and speed analysis of electrical and free-space optical digital interconnections,” in Optical Interconnections and Parallel Processing: Trends at the Interface, B. Berthomé, A. Ferreira, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1997), pp. 49–128.
  3. P. Dapkus, M. MacDougal, G. Yang, Y. Cheng, “Ultralow threshold VCSELs for application to smart pixels,” in Smart Pixels Technical Digest (IEEE Computer Society, Los Alamitos, Calif., 1996), p. 5.
  4. F. Sugihwo, M. Larson, J. Harris, “Low threshold continuously tunable vertical-cavity-surface-emitting-lasers with 19.1 nm wavelength range,” Appl. Phys. Lett. 70, 547 (1997).
    [CrossRef]
  5. D. Van Blerkom, C. Fan, M. Blume, S. Esener, “Transimpedance receiver design optimization for smart pixel arrays,” IEEE J. Lightwave Technol. 16, 119–126 (1998).
    [CrossRef]
  6. D. Gardner, P. Marchand, P. Harvey, L. Hendrick, S. Esener, “Photorefractive beam splitter for free-space optical interconnection systems,” Appl. Opt. 37, 6178–6181 (1998).
    [CrossRef]
  7. M. Ghisoni, H. Martinsson, N. Eriksson, M. Li, A. Larsson, J. Bengtsson, A. Khan, G. Parry, “4 × 4 fan-out spot generator using GaAs based VCSELs and diffractive optical element,” IEEE Photonics Technol. Lett. 9, 508 (1997).
    [CrossRef]
  8. G. Marsden, P. Marchand, P. Harvey, S. Esener, “Optical transpose interconnection system architectures,” Opt. Lett. 18, 1083–1085 (1993).
    [CrossRef] [PubMed]
  9. M. Blume, G. Marsden, P. Marchand, S. Esener, “Optical transpose interconnection system for vertical emitters,” presented at the OSA Topical Meeting on Optics in Computing, Optical Society of America, Lake Tahoe, Nevada, 18–21 March 1997.
  10. F. Zane, P. Marchand, R. Paturi, S. Esener, “Scalable network architectures using the optical transpose interconnection system,” in Proceedings of the Third International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1996), pp. 114–121.
    [CrossRef]
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    [CrossRef]
  12. S. Sahni, C. Wang, “BPC permutations on the OTIS-mesh optoelectronic computer,” in Proceedings of the Fourth International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1997), pp. 130–135.
  13. S. Rajasekaran, S. Sahni, “Randomized routing, selection, and sorting on the OTIS-mesh,” IEEE Trans. Parallel Distrib. Syst. 9, 833–840 (1998).
    [CrossRef]
  14. A. Ferreira, “Towards effective models for optical passive star based lightwave networks,” in Optical Interconnections and Parallel Processing: Trends at the Interface, P. Berthomé, A. Ferreira, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1997), pp. 209–233.
  15. H. Bourdin, A. Ferreira, K. Marcus, “A performance comparison between graph and hypergraph topologies for passive star WDM lightwave networks,” Comput. Netw. ISDN Syst. 30, 805–819 (1998).
    [CrossRef]
  16. I. Chlamtac, A. Fumagalli, “Quadro-star: a high performance optical WDM star network,” IEEE Trans. Commun. 42, 2582–2591 (1994).
    [CrossRef]
  17. E. Hall, J. Kravitz, R. Ramaswani, M. Halvorson, S. Tenbrink, R. Thomsen, “The Rainbow-II gigabit optical network,” IEEE J. Sel. Areas Commun. 14, 814–823 (1996).
    [CrossRef]
  18. A. Sen, P. Maitra, “A comparative study of Shuffle-Exchange, Manhattan Street, and Supercube network for lightwave applications,” Comput. Netw. and ISDN Syst. 26, 1007–1022 (1994).
    [CrossRef]
  19. Z. Zhang, A. S. Acampora, “Performance analysis of multihop lightwave networks with hot potato routing and distance-age-priorities,” IEEE Trans. Commun. 42, 2571–2581 (1994).
    [CrossRef]
  20. D. Coudert, A. Ferreira, X. Muñoz, “Multiprocessor architectures using multihops multi-OPS lightwave networks and distributed control,” in Proceedings of the Twelfth International Parallel Processing Symposium (IEEE Computer Society, Los Alamitos, Calif., 1998), pp. 151–155.
  21. W. H. Kautz, “Bounds on directed (d, k) graphs: theory of cellular logic networks and machines,” (SRI International, Menlo Park, Calif., 1998), pp. 20–28.
  22. G. Panchapakesan, A. Sengupta, “On multihop optical network topology using Kautz digraphs,” in Proceedings of InfoCom’95 (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 675–682.
  23. G. Smit, P. Havinga, “The architecture of Rattlesnake: a real-time multimedia network,” in Network and Operating System Support for Digital Audio and Video: Third International Workshop, Vol. 712 of Lecture Notes in Computer Science (Springer-Verlag, Berlin, 1993), pp. 15–24.
    [CrossRef]
  24. P. Havinga, G. Smit, “Rattlesnake–a single chip high-performance ATM switch,” in Proceedings of the International Conference on Multimedia and Networking (MmNet) (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 208–217.
  25. G. Smit, P. Havinga, “Multicast and broadcast in the Rattlesnake ATM switch, in Proceedings of the International Conference on Multimedia and Networking (MmNet) (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 218–226.
  26. M. Imase, T. Soneoka, K. Okada, “A fault-tolerant processor interconnection network,” Syst. Comput. Jpn. 17, 21–30 (1986).
    [CrossRef]
  27. G. Smit, P. Havinga, P. Jansen, “An algorithm for generating node disjoint routes in Kautz digraphs,” in Proceedings of the International Parallel Processing Symposium (IEEE Computer Society, Los Alamitos, Calif., 1991), pp. 102–107.
    [CrossRef]
  28. D. Chiarulli, S. Levitan, R. Melhem, J. Teza, G. Gravenstreter, “Partitioned optical passive star (POPS) topologies for multiprocessor interconnection networks with distributed control,” IEEE J. Lightwave Technol. 14, 1601–1612 (1996).
    [CrossRef]
  29. P. Berthomé, A. Ferreira, “Improved embeddings in POPS networks through stack-graph models,” in Proceedings of the Third International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1996), pp. 130–135.
    [CrossRef]
  30. C. Berge, Graphes (Bordas, Paris, 1983).
  31. M. Imase, M. Itoh, “Design to minimize diameter on building-block network,” IEEE Trans. Comput. 30, 439–442 (1981).
    [CrossRef]
  32. M. Imase, M. Itoh, “A design for directed graphs with minimum diameter,” IEEE Trans. Comput. 32, 782–784 (1983).
    [CrossRef]
  33. M. Blume, F. McCormick, P. Marchand, S. Esener, “Array interconnect systems based on lenslets and CGH,” (SPIE, Bellingham, Wash., 1995).
  34. Y. Li, T. Wang, K. Fasanella, “Inexpensive local interconnect solutions using side-coupling polymer optical fibers,” in Proceedings of the Fourth International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1997), pp. 45–51.
  35. C. Berge, Hypergraphes: Combinatoire des ensembles finis (Bordas, Paris, 1987).
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    [CrossRef]
  37. S. Zheng, “An abstract model for optical interconnection networks,” in Parallel Computing Using Optical Interconnections, K. Li, Y. Pan, S. Zheng, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1998), pp. 139–162.
    [CrossRef]
  38. M. A. Fiol, J. L. A. Yebra, I. Alegre, “Line digraphs iterations and the (d, k) digraph problem,” IEEE Trans. Comput. 33, 400–403 (1984).
    [CrossRef]
  39. J. Rumeur, Communications dans les réseaux de processeurs (Masson, Paris, 1994).
  40. S. Eitel, H-P. Gauggel, M. Brunner, R. Hovel, M. Moser, K. Gulden, “High uniformity 8 × 8 VCSEL arrays for optical interconnects,” in Proceedings of the Twenty-Fifth European Conference on Optical Communication (SEE, Paris, 1999), Vol. II, pp. 302–303.

1998 (5)

C. Wang, S. Sahni, “Basic operations on the OTIS-mesh optoelectronic computer,” IEEE Trans. Parallel Distrib. Syst. 9, 1226–1236 (1998).
[CrossRef]

S. Rajasekaran, S. Sahni, “Randomized routing, selection, and sorting on the OTIS-mesh,” IEEE Trans. Parallel Distrib. Syst. 9, 833–840 (1998).
[CrossRef]

H. Bourdin, A. Ferreira, K. Marcus, “A performance comparison between graph and hypergraph topologies for passive star WDM lightwave networks,” Comput. Netw. ISDN Syst. 30, 805–819 (1998).
[CrossRef]

D. Van Blerkom, C. Fan, M. Blume, S. Esener, “Transimpedance receiver design optimization for smart pixel arrays,” IEEE J. Lightwave Technol. 16, 119–126 (1998).
[CrossRef]

D. Gardner, P. Marchand, P. Harvey, L. Hendrick, S. Esener, “Photorefractive beam splitter for free-space optical interconnection systems,” Appl. Opt. 37, 6178–6181 (1998).
[CrossRef]

1997 (2)

F. Sugihwo, M. Larson, J. Harris, “Low threshold continuously tunable vertical-cavity-surface-emitting-lasers with 19.1 nm wavelength range,” Appl. Phys. Lett. 70, 547 (1997).
[CrossRef]

M. Ghisoni, H. Martinsson, N. Eriksson, M. Li, A. Larsson, J. Bengtsson, A. Khan, G. Parry, “4 × 4 fan-out spot generator using GaAs based VCSELs and diffractive optical element,” IEEE Photonics Technol. Lett. 9, 508 (1997).
[CrossRef]

1996 (3)

D. Chiarulli, S. Levitan, R. Melhem, J. Teza, G. Gravenstreter, “Partitioned optical passive star (POPS) topologies for multiprocessor interconnection networks with distributed control,” IEEE J. Lightwave Technol. 14, 1601–1612 (1996).
[CrossRef]

T. Szymanski, “Hypermeshes—optical interconnection networks for parallel computing,” J. Parallel Distrib. Comput. 26, 1–23 (1996).
[CrossRef]

E. Hall, J. Kravitz, R. Ramaswani, M. Halvorson, S. Tenbrink, R. Thomsen, “The Rainbow-II gigabit optical network,” IEEE J. Sel. Areas Commun. 14, 814–823 (1996).
[CrossRef]

1994 (3)

A. Sen, P. Maitra, “A comparative study of Shuffle-Exchange, Manhattan Street, and Supercube network for lightwave applications,” Comput. Netw. and ISDN Syst. 26, 1007–1022 (1994).
[CrossRef]

Z. Zhang, A. S. Acampora, “Performance analysis of multihop lightwave networks with hot potato routing and distance-age-priorities,” IEEE Trans. Commun. 42, 2571–2581 (1994).
[CrossRef]

I. Chlamtac, A. Fumagalli, “Quadro-star: a high performance optical WDM star network,” IEEE Trans. Commun. 42, 2582–2591 (1994).
[CrossRef]

1993 (1)

1988 (1)

1986 (1)

M. Imase, T. Soneoka, K. Okada, “A fault-tolerant processor interconnection network,” Syst. Comput. Jpn. 17, 21–30 (1986).
[CrossRef]

1984 (1)

M. A. Fiol, J. L. A. Yebra, I. Alegre, “Line digraphs iterations and the (d, k) digraph problem,” IEEE Trans. Comput. 33, 400–403 (1984).
[CrossRef]

1983 (1)

M. Imase, M. Itoh, “A design for directed graphs with minimum diameter,” IEEE Trans. Comput. 32, 782–784 (1983).
[CrossRef]

1981 (1)

M. Imase, M. Itoh, “Design to minimize diameter on building-block network,” IEEE Trans. Comput. 30, 439–442 (1981).
[CrossRef]

Acampora, A. S.

Z. Zhang, A. S. Acampora, “Performance analysis of multihop lightwave networks with hot potato routing and distance-age-priorities,” IEEE Trans. Commun. 42, 2571–2581 (1994).
[CrossRef]

Alegre, I.

M. A. Fiol, J. L. A. Yebra, I. Alegre, “Line digraphs iterations and the (d, k) digraph problem,” IEEE Trans. Comput. 33, 400–403 (1984).
[CrossRef]

Bengtsson, J.

M. Ghisoni, H. Martinsson, N. Eriksson, M. Li, A. Larsson, J. Bengtsson, A. Khan, G. Parry, “4 × 4 fan-out spot generator using GaAs based VCSELs and diffractive optical element,” IEEE Photonics Technol. Lett. 9, 508 (1997).
[CrossRef]

Berge, C.

C. Berge, Hypergraphes: Combinatoire des ensembles finis (Bordas, Paris, 1987).

C. Berge, Graphes (Bordas, Paris, 1983).

Berthomé, P.

P. Berthomé, A. Ferreira, “Improved embeddings in POPS networks through stack-graph models,” in Proceedings of the Third International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1996), pp. 130–135.
[CrossRef]

Blume, M.

D. Van Blerkom, C. Fan, M. Blume, S. Esener, “Transimpedance receiver design optimization for smart pixel arrays,” IEEE J. Lightwave Technol. 16, 119–126 (1998).
[CrossRef]

M. Blume, F. McCormick, P. Marchand, S. Esener, “Array interconnect systems based on lenslets and CGH,” (SPIE, Bellingham, Wash., 1995).

M. Blume, G. Marsden, P. Marchand, S. Esener, “Optical transpose interconnection system for vertical emitters,” presented at the OSA Topical Meeting on Optics in Computing, Optical Society of America, Lake Tahoe, Nevada, 18–21 March 1997.

Bourdin, H.

H. Bourdin, A. Ferreira, K. Marcus, “A performance comparison between graph and hypergraph topologies for passive star WDM lightwave networks,” Comput. Netw. ISDN Syst. 30, 805–819 (1998).
[CrossRef]

Brunner, M.

S. Eitel, H-P. Gauggel, M. Brunner, R. Hovel, M. Moser, K. Gulden, “High uniformity 8 × 8 VCSEL arrays for optical interconnects,” in Proceedings of the Twenty-Fifth European Conference on Optical Communication (SEE, Paris, 1999), Vol. II, pp. 302–303.

Cheng, Y.

P. Dapkus, M. MacDougal, G. Yang, Y. Cheng, “Ultralow threshold VCSELs for application to smart pixels,” in Smart Pixels Technical Digest (IEEE Computer Society, Los Alamitos, Calif., 1996), p. 5.

Chiarulli, D.

D. Chiarulli, S. Levitan, R. Melhem, J. Teza, G. Gravenstreter, “Partitioned optical passive star (POPS) topologies for multiprocessor interconnection networks with distributed control,” IEEE J. Lightwave Technol. 14, 1601–1612 (1996).
[CrossRef]

Chlamtac, I.

I. Chlamtac, A. Fumagalli, “Quadro-star: a high performance optical WDM star network,” IEEE Trans. Commun. 42, 2582–2591 (1994).
[CrossRef]

Coudert, D.

D. Coudert, A. Ferreira, X. Muñoz, “Multiprocessor architectures using multihops multi-OPS lightwave networks and distributed control,” in Proceedings of the Twelfth International Parallel Processing Symposium (IEEE Computer Society, Los Alamitos, Calif., 1998), pp. 151–155.

Dapkus, P.

P. Dapkus, M. MacDougal, G. Yang, Y. Cheng, “Ultralow threshold VCSELs for application to smart pixels,” in Smart Pixels Technical Digest (IEEE Computer Society, Los Alamitos, Calif., 1996), p. 5.

Eitel, S.

S. Eitel, H-P. Gauggel, M. Brunner, R. Hovel, M. Moser, K. Gulden, “High uniformity 8 × 8 VCSEL arrays for optical interconnects,” in Proceedings of the Twenty-Fifth European Conference on Optical Communication (SEE, Paris, 1999), Vol. II, pp. 302–303.

Eriksson, N.

M. Ghisoni, H. Martinsson, N. Eriksson, M. Li, A. Larsson, J. Bengtsson, A. Khan, G. Parry, “4 × 4 fan-out spot generator using GaAs based VCSELs and diffractive optical element,” IEEE Photonics Technol. Lett. 9, 508 (1997).
[CrossRef]

Esener, S.

D. Van Blerkom, C. Fan, M. Blume, S. Esener, “Transimpedance receiver design optimization for smart pixel arrays,” IEEE J. Lightwave Technol. 16, 119–126 (1998).
[CrossRef]

D. Gardner, P. Marchand, P. Harvey, L. Hendrick, S. Esener, “Photorefractive beam splitter for free-space optical interconnection systems,” Appl. Opt. 37, 6178–6181 (1998).
[CrossRef]

G. Marsden, P. Marchand, P. Harvey, S. Esener, “Optical transpose interconnection system architectures,” Opt. Lett. 18, 1083–1085 (1993).
[CrossRef] [PubMed]

M. Feldman, S. Esener, C. Guest, S. Lee, “Comparison between electrical and free-space optical interconnects based on power and speed considerations,” Appl. Opt. 27, 1742–1751 (1988).
[CrossRef] [PubMed]

M. Blume, F. McCormick, P. Marchand, S. Esener, “Array interconnect systems based on lenslets and CGH,” (SPIE, Bellingham, Wash., 1995).

F. Zane, P. Marchand, R. Paturi, S. Esener, “Scalable network architectures using the optical transpose interconnection system,” in Proceedings of the Third International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1996), pp. 114–121.
[CrossRef]

M. Blume, G. Marsden, P. Marchand, S. Esener, “Optical transpose interconnection system for vertical emitters,” presented at the OSA Topical Meeting on Optics in Computing, Optical Society of America, Lake Tahoe, Nevada, 18–21 March 1997.

G. Yayla, P. Marchand, S. Esener, “Energy requirement and speed analysis of electrical and free-space optical digital interconnections,” in Optical Interconnections and Parallel Processing: Trends at the Interface, B. Berthomé, A. Ferreira, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1997), pp. 49–128.

Fan, C.

D. Van Blerkom, C. Fan, M. Blume, S. Esener, “Transimpedance receiver design optimization for smart pixel arrays,” IEEE J. Lightwave Technol. 16, 119–126 (1998).
[CrossRef]

Fasanella, K.

Y. Li, T. Wang, K. Fasanella, “Inexpensive local interconnect solutions using side-coupling polymer optical fibers,” in Proceedings of the Fourth International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1997), pp. 45–51.

Feldman, M.

Ferreira, A.

H. Bourdin, A. Ferreira, K. Marcus, “A performance comparison between graph and hypergraph topologies for passive star WDM lightwave networks,” Comput. Netw. ISDN Syst. 30, 805–819 (1998).
[CrossRef]

A. Ferreira, “Towards effective models for optical passive star based lightwave networks,” in Optical Interconnections and Parallel Processing: Trends at the Interface, P. Berthomé, A. Ferreira, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1997), pp. 209–233.

P. Berthomé, A. Ferreira, “Improved embeddings in POPS networks through stack-graph models,” in Proceedings of the Third International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1996), pp. 130–135.
[CrossRef]

D. Coudert, A. Ferreira, X. Muñoz, “Multiprocessor architectures using multihops multi-OPS lightwave networks and distributed control,” in Proceedings of the Twelfth International Parallel Processing Symposium (IEEE Computer Society, Los Alamitos, Calif., 1998), pp. 151–155.

Fiol, M. A.

M. A. Fiol, J. L. A. Yebra, I. Alegre, “Line digraphs iterations and the (d, k) digraph problem,” IEEE Trans. Comput. 33, 400–403 (1984).
[CrossRef]

Fumagalli, A.

I. Chlamtac, A. Fumagalli, “Quadro-star: a high performance optical WDM star network,” IEEE Trans. Commun. 42, 2582–2591 (1994).
[CrossRef]

Gardner, D.

Gauggel, H-P.

S. Eitel, H-P. Gauggel, M. Brunner, R. Hovel, M. Moser, K. Gulden, “High uniformity 8 × 8 VCSEL arrays for optical interconnects,” in Proceedings of the Twenty-Fifth European Conference on Optical Communication (SEE, Paris, 1999), Vol. II, pp. 302–303.

Ghisoni, M.

M. Ghisoni, H. Martinsson, N. Eriksson, M. Li, A. Larsson, J. Bengtsson, A. Khan, G. Parry, “4 × 4 fan-out spot generator using GaAs based VCSELs and diffractive optical element,” IEEE Photonics Technol. Lett. 9, 508 (1997).
[CrossRef]

Gravenstreter, G.

D. Chiarulli, S. Levitan, R. Melhem, J. Teza, G. Gravenstreter, “Partitioned optical passive star (POPS) topologies for multiprocessor interconnection networks with distributed control,” IEEE J. Lightwave Technol. 14, 1601–1612 (1996).
[CrossRef]

Guest, C.

Gulden, K.

S. Eitel, H-P. Gauggel, M. Brunner, R. Hovel, M. Moser, K. Gulden, “High uniformity 8 × 8 VCSEL arrays for optical interconnects,” in Proceedings of the Twenty-Fifth European Conference on Optical Communication (SEE, Paris, 1999), Vol. II, pp. 302–303.

Hall, E.

E. Hall, J. Kravitz, R. Ramaswani, M. Halvorson, S. Tenbrink, R. Thomsen, “The Rainbow-II gigabit optical network,” IEEE J. Sel. Areas Commun. 14, 814–823 (1996).
[CrossRef]

Halvorson, M.

E. Hall, J. Kravitz, R. Ramaswani, M. Halvorson, S. Tenbrink, R. Thomsen, “The Rainbow-II gigabit optical network,” IEEE J. Sel. Areas Commun. 14, 814–823 (1996).
[CrossRef]

Harris, J.

F. Sugihwo, M. Larson, J. Harris, “Low threshold continuously tunable vertical-cavity-surface-emitting-lasers with 19.1 nm wavelength range,” Appl. Phys. Lett. 70, 547 (1997).
[CrossRef]

Harvey, P.

Havinga, P.

G. Smit, P. Havinga, “The architecture of Rattlesnake: a real-time multimedia network,” in Network and Operating System Support for Digital Audio and Video: Third International Workshop, Vol. 712 of Lecture Notes in Computer Science (Springer-Verlag, Berlin, 1993), pp. 15–24.
[CrossRef]

G. Smit, P. Havinga, “Multicast and broadcast in the Rattlesnake ATM switch, in Proceedings of the International Conference on Multimedia and Networking (MmNet) (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 218–226.

G. Smit, P. Havinga, P. Jansen, “An algorithm for generating node disjoint routes in Kautz digraphs,” in Proceedings of the International Parallel Processing Symposium (IEEE Computer Society, Los Alamitos, Calif., 1991), pp. 102–107.
[CrossRef]

P. Havinga, G. Smit, “Rattlesnake–a single chip high-performance ATM switch,” in Proceedings of the International Conference on Multimedia and Networking (MmNet) (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 208–217.

Hendrick, L.

Hovel, R.

S. Eitel, H-P. Gauggel, M. Brunner, R. Hovel, M. Moser, K. Gulden, “High uniformity 8 × 8 VCSEL arrays for optical interconnects,” in Proceedings of the Twenty-Fifth European Conference on Optical Communication (SEE, Paris, 1999), Vol. II, pp. 302–303.

Imase, M.

M. Imase, T. Soneoka, K. Okada, “A fault-tolerant processor interconnection network,” Syst. Comput. Jpn. 17, 21–30 (1986).
[CrossRef]

M. Imase, M. Itoh, “A design for directed graphs with minimum diameter,” IEEE Trans. Comput. 32, 782–784 (1983).
[CrossRef]

M. Imase, M. Itoh, “Design to minimize diameter on building-block network,” IEEE Trans. Comput. 30, 439–442 (1981).
[CrossRef]

Itoh, M.

M. Imase, M. Itoh, “A design for directed graphs with minimum diameter,” IEEE Trans. Comput. 32, 782–784 (1983).
[CrossRef]

M. Imase, M. Itoh, “Design to minimize diameter on building-block network,” IEEE Trans. Comput. 30, 439–442 (1981).
[CrossRef]

Jansen, P.

G. Smit, P. Havinga, P. Jansen, “An algorithm for generating node disjoint routes in Kautz digraphs,” in Proceedings of the International Parallel Processing Symposium (IEEE Computer Society, Los Alamitos, Calif., 1991), pp. 102–107.
[CrossRef]

Kautz, W. H.

W. H. Kautz, “Bounds on directed (d, k) graphs: theory of cellular logic networks and machines,” (SRI International, Menlo Park, Calif., 1998), pp. 20–28.

Khan, A.

M. Ghisoni, H. Martinsson, N. Eriksson, M. Li, A. Larsson, J. Bengtsson, A. Khan, G. Parry, “4 × 4 fan-out spot generator using GaAs based VCSELs and diffractive optical element,” IEEE Photonics Technol. Lett. 9, 508 (1997).
[CrossRef]

Kravitz, J.

E. Hall, J. Kravitz, R. Ramaswani, M. Halvorson, S. Tenbrink, R. Thomsen, “The Rainbow-II gigabit optical network,” IEEE J. Sel. Areas Commun. 14, 814–823 (1996).
[CrossRef]

Larson, M.

F. Sugihwo, M. Larson, J. Harris, “Low threshold continuously tunable vertical-cavity-surface-emitting-lasers with 19.1 nm wavelength range,” Appl. Phys. Lett. 70, 547 (1997).
[CrossRef]

Larsson, A.

M. Ghisoni, H. Martinsson, N. Eriksson, M. Li, A. Larsson, J. Bengtsson, A. Khan, G. Parry, “4 × 4 fan-out spot generator using GaAs based VCSELs and diffractive optical element,” IEEE Photonics Technol. Lett. 9, 508 (1997).
[CrossRef]

Lee, S.

Levitan, S.

D. Chiarulli, S. Levitan, R. Melhem, J. Teza, G. Gravenstreter, “Partitioned optical passive star (POPS) topologies for multiprocessor interconnection networks with distributed control,” IEEE J. Lightwave Technol. 14, 1601–1612 (1996).
[CrossRef]

Li, M.

M. Ghisoni, H. Martinsson, N. Eriksson, M. Li, A. Larsson, J. Bengtsson, A. Khan, G. Parry, “4 × 4 fan-out spot generator using GaAs based VCSELs and diffractive optical element,” IEEE Photonics Technol. Lett. 9, 508 (1997).
[CrossRef]

Li, Y.

Y. Li, T. Wang, K. Fasanella, “Inexpensive local interconnect solutions using side-coupling polymer optical fibers,” in Proceedings of the Fourth International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1997), pp. 45–51.

MacDougal, M.

P. Dapkus, M. MacDougal, G. Yang, Y. Cheng, “Ultralow threshold VCSELs for application to smart pixels,” in Smart Pixels Technical Digest (IEEE Computer Society, Los Alamitos, Calif., 1996), p. 5.

Maitra, P.

A. Sen, P. Maitra, “A comparative study of Shuffle-Exchange, Manhattan Street, and Supercube network for lightwave applications,” Comput. Netw. and ISDN Syst. 26, 1007–1022 (1994).
[CrossRef]

Marchand, P.

D. Gardner, P. Marchand, P. Harvey, L. Hendrick, S. Esener, “Photorefractive beam splitter for free-space optical interconnection systems,” Appl. Opt. 37, 6178–6181 (1998).
[CrossRef]

G. Marsden, P. Marchand, P. Harvey, S. Esener, “Optical transpose interconnection system architectures,” Opt. Lett. 18, 1083–1085 (1993).
[CrossRef] [PubMed]

F. Zane, P. Marchand, R. Paturi, S. Esener, “Scalable network architectures using the optical transpose interconnection system,” in Proceedings of the Third International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1996), pp. 114–121.
[CrossRef]

M. Blume, G. Marsden, P. Marchand, S. Esener, “Optical transpose interconnection system for vertical emitters,” presented at the OSA Topical Meeting on Optics in Computing, Optical Society of America, Lake Tahoe, Nevada, 18–21 March 1997.

G. Yayla, P. Marchand, S. Esener, “Energy requirement and speed analysis of electrical and free-space optical digital interconnections,” in Optical Interconnections and Parallel Processing: Trends at the Interface, B. Berthomé, A. Ferreira, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1997), pp. 49–128.

M. Blume, F. McCormick, P. Marchand, S. Esener, “Array interconnect systems based on lenslets and CGH,” (SPIE, Bellingham, Wash., 1995).

Marcus, K.

H. Bourdin, A. Ferreira, K. Marcus, “A performance comparison between graph and hypergraph topologies for passive star WDM lightwave networks,” Comput. Netw. ISDN Syst. 30, 805–819 (1998).
[CrossRef]

Marsden, G.

G. Marsden, P. Marchand, P. Harvey, S. Esener, “Optical transpose interconnection system architectures,” Opt. Lett. 18, 1083–1085 (1993).
[CrossRef] [PubMed]

M. Blume, G. Marsden, P. Marchand, S. Esener, “Optical transpose interconnection system for vertical emitters,” presented at the OSA Topical Meeting on Optics in Computing, Optical Society of America, Lake Tahoe, Nevada, 18–21 March 1997.

Martinsson, H.

M. Ghisoni, H. Martinsson, N. Eriksson, M. Li, A. Larsson, J. Bengtsson, A. Khan, G. Parry, “4 × 4 fan-out spot generator using GaAs based VCSELs and diffractive optical element,” IEEE Photonics Technol. Lett. 9, 508 (1997).
[CrossRef]

McCormick, F.

M. Blume, F. McCormick, P. Marchand, S. Esener, “Array interconnect systems based on lenslets and CGH,” (SPIE, Bellingham, Wash., 1995).

Melhem, R.

D. Chiarulli, S. Levitan, R. Melhem, J. Teza, G. Gravenstreter, “Partitioned optical passive star (POPS) topologies for multiprocessor interconnection networks with distributed control,” IEEE J. Lightwave Technol. 14, 1601–1612 (1996).
[CrossRef]

Moser, M.

S. Eitel, H-P. Gauggel, M. Brunner, R. Hovel, M. Moser, K. Gulden, “High uniformity 8 × 8 VCSEL arrays for optical interconnects,” in Proceedings of the Twenty-Fifth European Conference on Optical Communication (SEE, Paris, 1999), Vol. II, pp. 302–303.

Muñoz, X.

D. Coudert, A. Ferreira, X. Muñoz, “Multiprocessor architectures using multihops multi-OPS lightwave networks and distributed control,” in Proceedings of the Twelfth International Parallel Processing Symposium (IEEE Computer Society, Los Alamitos, Calif., 1998), pp. 151–155.

Okada, K.

M. Imase, T. Soneoka, K. Okada, “A fault-tolerant processor interconnection network,” Syst. Comput. Jpn. 17, 21–30 (1986).
[CrossRef]

Panchapakesan, G.

G. Panchapakesan, A. Sengupta, “On multihop optical network topology using Kautz digraphs,” in Proceedings of InfoCom’95 (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 675–682.

Parry, G.

M. Ghisoni, H. Martinsson, N. Eriksson, M. Li, A. Larsson, J. Bengtsson, A. Khan, G. Parry, “4 × 4 fan-out spot generator using GaAs based VCSELs and diffractive optical element,” IEEE Photonics Technol. Lett. 9, 508 (1997).
[CrossRef]

Paturi, R.

F. Zane, P. Marchand, R. Paturi, S. Esener, “Scalable network architectures using the optical transpose interconnection system,” in Proceedings of the Third International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1996), pp. 114–121.
[CrossRef]

Rajasekaran, S.

S. Rajasekaran, S. Sahni, “Randomized routing, selection, and sorting on the OTIS-mesh,” IEEE Trans. Parallel Distrib. Syst. 9, 833–840 (1998).
[CrossRef]

Ramaswani, R.

E. Hall, J. Kravitz, R. Ramaswani, M. Halvorson, S. Tenbrink, R. Thomsen, “The Rainbow-II gigabit optical network,” IEEE J. Sel. Areas Commun. 14, 814–823 (1996).
[CrossRef]

Rumeur, J.

J. Rumeur, Communications dans les réseaux de processeurs (Masson, Paris, 1994).

Sahni, S.

C. Wang, S. Sahni, “Basic operations on the OTIS-mesh optoelectronic computer,” IEEE Trans. Parallel Distrib. Syst. 9, 1226–1236 (1998).
[CrossRef]

S. Rajasekaran, S. Sahni, “Randomized routing, selection, and sorting on the OTIS-mesh,” IEEE Trans. Parallel Distrib. Syst. 9, 833–840 (1998).
[CrossRef]

S. Sahni, C. Wang, “BPC permutations on the OTIS-mesh optoelectronic computer,” in Proceedings of the Fourth International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1997), pp. 130–135.

Sen, A.

A. Sen, P. Maitra, “A comparative study of Shuffle-Exchange, Manhattan Street, and Supercube network for lightwave applications,” Comput. Netw. and ISDN Syst. 26, 1007–1022 (1994).
[CrossRef]

Sengupta, A.

G. Panchapakesan, A. Sengupta, “On multihop optical network topology using Kautz digraphs,” in Proceedings of InfoCom’95 (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 675–682.

Smit, G.

P. Havinga, G. Smit, “Rattlesnake–a single chip high-performance ATM switch,” in Proceedings of the International Conference on Multimedia and Networking (MmNet) (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 208–217.

G. Smit, P. Havinga, “Multicast and broadcast in the Rattlesnake ATM switch, in Proceedings of the International Conference on Multimedia and Networking (MmNet) (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 218–226.

G. Smit, P. Havinga, “The architecture of Rattlesnake: a real-time multimedia network,” in Network and Operating System Support for Digital Audio and Video: Third International Workshop, Vol. 712 of Lecture Notes in Computer Science (Springer-Verlag, Berlin, 1993), pp. 15–24.
[CrossRef]

G. Smit, P. Havinga, P. Jansen, “An algorithm for generating node disjoint routes in Kautz digraphs,” in Proceedings of the International Parallel Processing Symposium (IEEE Computer Society, Los Alamitos, Calif., 1991), pp. 102–107.
[CrossRef]

Soneoka, T.

M. Imase, T. Soneoka, K. Okada, “A fault-tolerant processor interconnection network,” Syst. Comput. Jpn. 17, 21–30 (1986).
[CrossRef]

Sugihwo, F.

F. Sugihwo, M. Larson, J. Harris, “Low threshold continuously tunable vertical-cavity-surface-emitting-lasers with 19.1 nm wavelength range,” Appl. Phys. Lett. 70, 547 (1997).
[CrossRef]

Szymanski, T.

T. Szymanski, “Hypermeshes—optical interconnection networks for parallel computing,” J. Parallel Distrib. Comput. 26, 1–23 (1996).
[CrossRef]

Tenbrink, S.

E. Hall, J. Kravitz, R. Ramaswani, M. Halvorson, S. Tenbrink, R. Thomsen, “The Rainbow-II gigabit optical network,” IEEE J. Sel. Areas Commun. 14, 814–823 (1996).
[CrossRef]

Teza, J.

D. Chiarulli, S. Levitan, R. Melhem, J. Teza, G. Gravenstreter, “Partitioned optical passive star (POPS) topologies for multiprocessor interconnection networks with distributed control,” IEEE J. Lightwave Technol. 14, 1601–1612 (1996).
[CrossRef]

Thomsen, R.

E. Hall, J. Kravitz, R. Ramaswani, M. Halvorson, S. Tenbrink, R. Thomsen, “The Rainbow-II gigabit optical network,” IEEE J. Sel. Areas Commun. 14, 814–823 (1996).
[CrossRef]

Van Blerkom, D.

D. Van Blerkom, C. Fan, M. Blume, S. Esener, “Transimpedance receiver design optimization for smart pixel arrays,” IEEE J. Lightwave Technol. 16, 119–126 (1998).
[CrossRef]

Wang, C.

C. Wang, S. Sahni, “Basic operations on the OTIS-mesh optoelectronic computer,” IEEE Trans. Parallel Distrib. Syst. 9, 1226–1236 (1998).
[CrossRef]

S. Sahni, C. Wang, “BPC permutations on the OTIS-mesh optoelectronic computer,” in Proceedings of the Fourth International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1997), pp. 130–135.

Wang, T.

Y. Li, T. Wang, K. Fasanella, “Inexpensive local interconnect solutions using side-coupling polymer optical fibers,” in Proceedings of the Fourth International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1997), pp. 45–51.

Yang, G.

P. Dapkus, M. MacDougal, G. Yang, Y. Cheng, “Ultralow threshold VCSELs for application to smart pixels,” in Smart Pixels Technical Digest (IEEE Computer Society, Los Alamitos, Calif., 1996), p. 5.

Yayla, G.

G. Yayla, P. Marchand, S. Esener, “Energy requirement and speed analysis of electrical and free-space optical digital interconnections,” in Optical Interconnections and Parallel Processing: Trends at the Interface, B. Berthomé, A. Ferreira, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1997), pp. 49–128.

Yebra, J. L. A.

M. A. Fiol, J. L. A. Yebra, I. Alegre, “Line digraphs iterations and the (d, k) digraph problem,” IEEE Trans. Comput. 33, 400–403 (1984).
[CrossRef]

Zane, F.

F. Zane, P. Marchand, R. Paturi, S. Esener, “Scalable network architectures using the optical transpose interconnection system,” in Proceedings of the Third International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1996), pp. 114–121.
[CrossRef]

Zhang, Z.

Z. Zhang, A. S. Acampora, “Performance analysis of multihop lightwave networks with hot potato routing and distance-age-priorities,” IEEE Trans. Commun. 42, 2571–2581 (1994).
[CrossRef]

Zheng, S.

S. Zheng, “An abstract model for optical interconnection networks,” in Parallel Computing Using Optical Interconnections, K. Li, Y. Pan, S. Zheng, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1998), pp. 139–162.
[CrossRef]

Appl. Opt. (2)

Appl. Phys. Lett. (1)

F. Sugihwo, M. Larson, J. Harris, “Low threshold continuously tunable vertical-cavity-surface-emitting-lasers with 19.1 nm wavelength range,” Appl. Phys. Lett. 70, 547 (1997).
[CrossRef]

Comput. Netw. and ISDN Syst. (1)

A. Sen, P. Maitra, “A comparative study of Shuffle-Exchange, Manhattan Street, and Supercube network for lightwave applications,” Comput. Netw. and ISDN Syst. 26, 1007–1022 (1994).
[CrossRef]

Comput. Netw. ISDN Syst. (1)

H. Bourdin, A. Ferreira, K. Marcus, “A performance comparison between graph and hypergraph topologies for passive star WDM lightwave networks,” Comput. Netw. ISDN Syst. 30, 805–819 (1998).
[CrossRef]

IEEE J. Lightwave Technol. (2)

D. Van Blerkom, C. Fan, M. Blume, S. Esener, “Transimpedance receiver design optimization for smart pixel arrays,” IEEE J. Lightwave Technol. 16, 119–126 (1998).
[CrossRef]

D. Chiarulli, S. Levitan, R. Melhem, J. Teza, G. Gravenstreter, “Partitioned optical passive star (POPS) topologies for multiprocessor interconnection networks with distributed control,” IEEE J. Lightwave Technol. 14, 1601–1612 (1996).
[CrossRef]

IEEE J. Sel. Areas Commun. (1)

E. Hall, J. Kravitz, R. Ramaswani, M. Halvorson, S. Tenbrink, R. Thomsen, “The Rainbow-II gigabit optical network,” IEEE J. Sel. Areas Commun. 14, 814–823 (1996).
[CrossRef]

IEEE Photonics Technol. Lett. (1)

M. Ghisoni, H. Martinsson, N. Eriksson, M. Li, A. Larsson, J. Bengtsson, A. Khan, G. Parry, “4 × 4 fan-out spot generator using GaAs based VCSELs and diffractive optical element,” IEEE Photonics Technol. Lett. 9, 508 (1997).
[CrossRef]

IEEE Trans. Commun. (2)

I. Chlamtac, A. Fumagalli, “Quadro-star: a high performance optical WDM star network,” IEEE Trans. Commun. 42, 2582–2591 (1994).
[CrossRef]

Z. Zhang, A. S. Acampora, “Performance analysis of multihop lightwave networks with hot potato routing and distance-age-priorities,” IEEE Trans. Commun. 42, 2571–2581 (1994).
[CrossRef]

IEEE Trans. Comput. (3)

M. A. Fiol, J. L. A. Yebra, I. Alegre, “Line digraphs iterations and the (d, k) digraph problem,” IEEE Trans. Comput. 33, 400–403 (1984).
[CrossRef]

M. Imase, M. Itoh, “Design to minimize diameter on building-block network,” IEEE Trans. Comput. 30, 439–442 (1981).
[CrossRef]

M. Imase, M. Itoh, “A design for directed graphs with minimum diameter,” IEEE Trans. Comput. 32, 782–784 (1983).
[CrossRef]

IEEE Trans. Parallel Distrib. Syst. (2)

S. Rajasekaran, S. Sahni, “Randomized routing, selection, and sorting on the OTIS-mesh,” IEEE Trans. Parallel Distrib. Syst. 9, 833–840 (1998).
[CrossRef]

C. Wang, S. Sahni, “Basic operations on the OTIS-mesh optoelectronic computer,” IEEE Trans. Parallel Distrib. Syst. 9, 1226–1236 (1998).
[CrossRef]

J. Parallel Distrib. Comput. (1)

T. Szymanski, “Hypermeshes—optical interconnection networks for parallel computing,” J. Parallel Distrib. Comput. 26, 1–23 (1996).
[CrossRef]

Opt. Lett. (1)

Syst. Comput. Jpn. (1)

M. Imase, T. Soneoka, K. Okada, “A fault-tolerant processor interconnection network,” Syst. Comput. Jpn. 17, 21–30 (1986).
[CrossRef]

Other (21)

G. Smit, P. Havinga, P. Jansen, “An algorithm for generating node disjoint routes in Kautz digraphs,” in Proceedings of the International Parallel Processing Symposium (IEEE Computer Society, Los Alamitos, Calif., 1991), pp. 102–107.
[CrossRef]

P. Berthomé, A. Ferreira, “Improved embeddings in POPS networks through stack-graph models,” in Proceedings of the Third International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1996), pp. 130–135.
[CrossRef]

C. Berge, Graphes (Bordas, Paris, 1983).

M. Blume, F. McCormick, P. Marchand, S. Esener, “Array interconnect systems based on lenslets and CGH,” (SPIE, Bellingham, Wash., 1995).

Y. Li, T. Wang, K. Fasanella, “Inexpensive local interconnect solutions using side-coupling polymer optical fibers,” in Proceedings of the Fourth International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1997), pp. 45–51.

C. Berge, Hypergraphes: Combinatoire des ensembles finis (Bordas, Paris, 1987).

J. Rumeur, Communications dans les réseaux de processeurs (Masson, Paris, 1994).

S. Eitel, H-P. Gauggel, M. Brunner, R. Hovel, M. Moser, K. Gulden, “High uniformity 8 × 8 VCSEL arrays for optical interconnects,” in Proceedings of the Twenty-Fifth European Conference on Optical Communication (SEE, Paris, 1999), Vol. II, pp. 302–303.

G. Yayla, P. Marchand, S. Esener, “Energy requirement and speed analysis of electrical and free-space optical digital interconnections,” in Optical Interconnections and Parallel Processing: Trends at the Interface, B. Berthomé, A. Ferreira, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1997), pp. 49–128.

P. Dapkus, M. MacDougal, G. Yang, Y. Cheng, “Ultralow threshold VCSELs for application to smart pixels,” in Smart Pixels Technical Digest (IEEE Computer Society, Los Alamitos, Calif., 1996), p. 5.

S. Sahni, C. Wang, “BPC permutations on the OTIS-mesh optoelectronic computer,” in Proceedings of the Fourth International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1997), pp. 130–135.

M. Blume, G. Marsden, P. Marchand, S. Esener, “Optical transpose interconnection system for vertical emitters,” presented at the OSA Topical Meeting on Optics in Computing, Optical Society of America, Lake Tahoe, Nevada, 18–21 March 1997.

F. Zane, P. Marchand, R. Paturi, S. Esener, “Scalable network architectures using the optical transpose interconnection system,” in Proceedings of the Third International Conference on Massively Parallel Processing Using Optical Interconnections (IEEE Computer Society, Los Alamitos, Calif., 1996), pp. 114–121.
[CrossRef]

A. Ferreira, “Towards effective models for optical passive star based lightwave networks,” in Optical Interconnections and Parallel Processing: Trends at the Interface, P. Berthomé, A. Ferreira, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1997), pp. 209–233.

D. Coudert, A. Ferreira, X. Muñoz, “Multiprocessor architectures using multihops multi-OPS lightwave networks and distributed control,” in Proceedings of the Twelfth International Parallel Processing Symposium (IEEE Computer Society, Los Alamitos, Calif., 1998), pp. 151–155.

W. H. Kautz, “Bounds on directed (d, k) graphs: theory of cellular logic networks and machines,” (SRI International, Menlo Park, Calif., 1998), pp. 20–28.

G. Panchapakesan, A. Sengupta, “On multihop optical network topology using Kautz digraphs,” in Proceedings of InfoCom’95 (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 675–682.

G. Smit, P. Havinga, “The architecture of Rattlesnake: a real-time multimedia network,” in Network and Operating System Support for Digital Audio and Video: Third International Workshop, Vol. 712 of Lecture Notes in Computer Science (Springer-Verlag, Berlin, 1993), pp. 15–24.
[CrossRef]

P. Havinga, G. Smit, “Rattlesnake–a single chip high-performance ATM switch,” in Proceedings of the International Conference on Multimedia and Networking (MmNet) (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 208–217.

G. Smit, P. Havinga, “Multicast and broadcast in the Rattlesnake ATM switch, in Proceedings of the International Conference on Multimedia and Networking (MmNet) (IEEE Computer Society, Los Alamitos, Calif., 1995), pp. 218–226.

S. Zheng, “An abstract model for optical interconnection networks,” in Parallel Computing Using Optical Interconnections, K. Li, Y. Pan, S. Zheng, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1998), pp. 139–162.
[CrossRef]

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Figures (13)

Fig. 1
Fig. 1

OTIS(3, 12).

Fig. 2
Fig. 2

OPS coupler with degree 4.

Fig. 3
Fig. 3

Modeling an OPS with a hyperarc.

Fig. 4
Fig. 4

POPS(4, 2) with eight nodes.

Fig. 5
Fig. 5

POPS(4, 2) modeled as ς(4, K2*).

Fig. 6
Fig. 6

Three Kautz digraphs: KG(2, 1) = K3+, KG(2, 2), and KG(2, 3).

Fig. 7
Fig. 7

Arc-representative bipartite graph of II (3, 12) [and of KG(3, 2)].

Fig. 8
Fig. 8

Stack-Kautz network SK(6, 3, 2).

Fig. 9
Fig. 9

Interconnections between a group of six nodes and the input of four OPS couplers.

Fig. 10
Fig. 10

Interconnections between the outputs of three OPS couplers and a group of five nodes.

Fig. 11
Fig. 11

II(3, 12) with OTIS(3, 12).

Fig. 12
Fig. 12

Optical interconnections of SK(6, 3, 2) with the OTIS architecture.

Fig. 13
Fig. 13

Optical interconnections of POPS(4, 2) with the OTIS architecture.

Equations (1)

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vα=n-du+α-1-du+α-1nn-1,  1αd,  vα=n1+du+α-1n-du-α,  1αd,  vα-du-αmod n,  1αd.

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