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Papers

An optimal algorithm for finding the most vital edge with respect to SKT reliability in BSP digraphs

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Pages 519-529 | Received 15 Jun 1994, Accepted 04 Oct 1994, Published online: 04 May 2011
 

Abstract

The SKT reliability is the probability that a source can send communication to a specified set of terminals K in V in a probabilistic digraph D = (V, E). “The most vital edge” is the edge whose deletion yields the largest decrease in the SKT reliability. A digraph is a basically‐series‐parallel(BSP) directed graph if its underlying undirected graph is series‐parallel. In this paper, we propose a tree‐like structure and present an optimal algorithm with linear time complexity for finding the most vital edge with respect to SKT reliability in BSP digraphs.

Notes

Correspondence addressee

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