Discrete Mathematics & Theoretical Computer Science, Vol 6, No 1 (2003)

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DMTCS vol 6 no 1 (2003), pp. 123-132

Discrete Mathematics & Theoretical Computer Science


Volume 6 n° 1 (2003), pp. 123-132

author:Selma Djelloul and Mekkia Kouider
title:Minimum survivable graphs with bounded distance increase
keywords:distance, fault-tolerance, spanning subgraph
abstract:We study in graphs properties related to fault-tolerance in case a node fails. A graph G is k-self-repairing, where k is a non-negative integer, if after the removal of any vertex no distance in the surviving graph increases by more than k. In the design of interconnection networks such graphs guarantee good fault-tolerance properties. We give upper and lower bounds on the minimum number of edges of a k-self-repairing graph for prescribed k and n, where n is the order of the graph. We prove that the problem of finding, in a k-self-repairing graph, a spanning k-self-repairing subgraph of minimum size is NP-Hard.

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reference: Selma Djelloul and Mekkia Kouider (2003), Minimum survivable graphs with bounded distance increase, Discrete Mathematics and Theoretical Computer Science 6, pp. 123-132
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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Automatically produced on Tue Nov 4 10:51:55 CET 2003 by falk