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On ƒ-wise Arc Forwarding Index and Wavelength Allocations in Faulty All-optical Hypercubes

Published online by Cambridge University Press:  15 November 2003

Ján Maňuch  and
Ladislav Stacho
Ján Maňuch
Affiliation:
SFU PIMS, Simon Fraser University, 8888 University Drive, Burnaby BC, V5A 1S6 Canada; [email protected].
Ladislav Stacho
Affiliation:
Department of Mathematics, Simon Fraser University, 8888 University Drive, Burnaby BC, V5A 1S6 Canada; [email protected].
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Abstract

Motivated by the wavelength division multiplexing in all-optical networks, we consider the problem of finding an optimal (with respect to the least possible number of wavelengths) set of ƒ+1 internally node disjoint dipaths connecting all pairs of distinct nodes in the binary r-dimensional hypercube, where 0 ≤ ƒ < r. This system of dipaths constitutes a routing protocol that remains functional in the presence of up to ƒ faults (of nodes and/or links). The problem of constructing such protocols for general networks was mentioned in [1]. We compute precise values of ƒ-wise arc forwarding indexes and give (describe dipaths and color them) nearly optimal all-to-all ƒ-fault tolerant protocols for the hypercube network. Our results generalize corresponding results from [1, 4, 14].

Keywords

All-optical networksfault tolerant systemforwarding indexoptical indexhypercube.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 37 , Issue 3 , July 2003 , pp. 255 - 270
Copyright
© EDP Sciences, 2003

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