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

Ján Maňuch; Ladislav Stacho

RAIRO - Theoretical Informatics and Applications (2010)

  • Volume: 37, Issue: 3, page 255-270
  • ISSN: 0988-3754

Abstract

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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].

How to cite

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Maňuch, Ján, and Stacho, Ladislav. "On ƒ-wise Arc Forwarding Index and Wavelength Allocations in Faulty All-optical Hypercubes." RAIRO - Theoretical Informatics and Applications 37.3 (2010): 255-270. <http://eudml.org/doc/92723>.

@article{Maňuch2010,
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]. },
author = {Maňuch, Ján, Stacho, Ladislav},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {All-optical networks; fault tolerant system; forwarding index; optical index; hypercube.},
language = {eng},
month = {3},
number = {3},
pages = {255-270},
publisher = {EDP Sciences},
title = {On ƒ-wise Arc Forwarding Index and Wavelength Allocations in Faulty All-optical Hypercubes},
url = {http://eudml.org/doc/92723},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Maňuch, Ján
AU - Stacho, Ladislav
TI - On ƒ-wise Arc Forwarding Index and Wavelength Allocations in Faulty All-optical Hypercubes
JO - RAIRO - Theoretical Informatics and Applications
DA - 2010/3//
PB - EDP Sciences
VL - 37
IS - 3
SP - 255
EP - 270
AB - 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].
LA - eng
KW - All-optical networks; fault tolerant system; forwarding index; optical index; hypercube.
UR - http://eudml.org/doc/92723
ER -

References

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