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On multi-label linear interval routing schemes

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Graph-Theoretic Concepts in Computer Science (WG 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 790))

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Abstract

We consider linear interval routing schemes studied in [3, 5] from a graph theoretic perspective. We examine how the number of linear intervals needed to obtain shortest path routings in networks is affected by the product, join and composition operations on graphs. This approach allows us to generalize some of the results in [3, 5] concerning the minimum number of intervals needed to achieve shortest path routings in certain special classes of networks. We also establish the precise value of the minimum number of intervals needed to achieve shortest path routings in the network considered in [11].

Research supported in part by NSERC grants OPG0137991 and OPG0122227.

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References

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Jan van Leeuwen

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© 1994 Springer-Verlag Berlin Heidelberg

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Kranakis, E., Krizanc, D., Ravi, S.S. (1994). On multi-label linear interval routing schemes. In: van Leeuwen, J. (eds) Graph-Theoretic Concepts in Computer Science. WG 1993. Lecture Notes in Computer Science, vol 790. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57899-4_64

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  • DOI: https://doi.org/10.1007/3-540-57899-4_64

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