| Issue |
RAIRO-Theor. Inf. Appl.
Volume 37, Number 3, July-September 2003
|
|
|---|---|---|
| Page(s) | 255 - 270 | |
| DOI | https://doi.org/10.1051/ita:2003019 | |
| Published online | 15 November 2003 | |
On ƒ-wise Arc Forwarding Index and Wavelength Allocations in Faulty All-optical Hypercubes
1
SFU PIMS, Simon Fraser University,
8888 University Drive, Burnaby BC, V5A 1S6 Canada;
jmanuch@sfu.ca.
2
Department of Mathematics, Simon
Fraser University, 8888 University Drive, Burnaby BC, V5A 1S6 Canada;
lstacho@sfu.ca.
Received:
4
February
2003
Accepted:
15
September
2003
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].
Mathematics Subject Classification: 68M10 / 68M15 / 68R05
Key words: All-optical networks / fault tolerant system / forwarding index / optical index / hypercube.
© EDP Sciences, 2003
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