Skip to main content

Optical All-to-All Communication in Inflated Networks

  • Conference paper
  • 396 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1517))

Abstract

The problem of all-to-all communication in all-optical networks consist of designing directed paths between all ordered pairs of nodes and assigning them a wavelength, such that every two dipaths sharing a link have distinct wavelengths. The parameter to be minimised is the number of colors. We determine bounds on the number of wavelengths needed for optical networks that are obtained by replacing each node of a network by a complete subgraph.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Amar, D., Raspaud, A., Togni, O.: All-to-all wavelength routing in all-optical compound networks (submitted)

    Google Scholar 

  2. Beauquier, B.: All-to-all communication in some wavelength-routed all-optical networks (1996) (submitted)

    Google Scholar 

  3. Beauquier, B., Bermond, J.-C., Gargano, L., Hell, P., Perennes, S., Vaccaro, U.: Graphs problems arising from wavelength-routing in all-optical networks. In: Proc. WOCS 1997 (1997)

    Google Scholar 

  4. Berge, C.: Graphes et hypergraphes. In: DUNOD (1973)

    Google Scholar 

  5. Bermond, J.-C., Comellas, F., Hsu, D.F.: Distributed loop computer networks: A survey. Journal of Parallel and Distrubuted Computing 24, 2–10 (1995)

    Article  Google Scholar 

  6. Bermond, J.-C., Gargano, L., Perennes, S., Rescigno, A.A., Vaccaro, U.: Efficient collective communication in optical networks. LNCS, vol. 1099, pp. 574–585. Springer, Hidleberg (1996)

    MATH  Google Scholar 

  7. Dunbar, J.E., Haines, T.W.: Domination in inflated graphs. Congr. Numeran-tium 118, 143–154 (1996)

    MathSciNet  MATH  Google Scholar 

  8. Erlebach, T., Jansen, K.: Call scheduling in trees, rings and meshes. In: HICSS: Hawaii International Conference on System Sciences, IEEE Computer Society Press, Los Alamitos (1997)

    Google Scholar 

  9. Gargano, L., Hell, P., Perenes, S.: Colouring paths in directed symetric trees with applications to WDM routing. In: Degano, P., Gorrieri, R., Marchetti-Spaccamela, A. (eds.) ICALP 1997. LNCS, vol. 1256, pp. 505–515. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  10. Heydemmann, M.C., Meyer, J.C., Sotteau, D.: On forwarding indices of networks. Discrete Applied Math. 23, 103–123 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  11. Kaklamanis, C., Persiano, P., Erlebach, T., Jansen, K.: Constrained bipartite edge coloring with applications to wavelength routing. LNCS, vol. 1256, pp. 493–504. Springer, Hidleberg (1997)

    Google Scholar 

  12. Schroeder, H., Sykora, O., Vrt’o, I.: Optical all-to-all communication for some product graphs. In: Jeffery, K. (ed.) SOFSEM 1997. LNCS, vol. 1338, p. 555. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  13. Togni, O.: Force des graphes, indice optique des reséaux. PhD thesis, Université de Bordeaux I (1998) (in french)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Togni, O. (1998). Optical All-to-All Communication in Inflated Networks. In: Hromkovič, J., Sýkora, O. (eds) Graph-Theoretic Concepts in Computer Science. WG 1998. Lecture Notes in Computer Science, vol 1517. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10692760_7

Download citation

  • DOI: https://doi.org/10.1007/10692760_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65195-6

  • Online ISBN: 978-3-540-49494-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics