# A linear time algorithm for computing the most reliable source on a series-parallel graph with unreliable edges

Research output: Contribution to journalArticle

18 Citations (Scopus)

### Abstract

Given a network with n vertices and m edges where each edge has an independent operational probability, we are interested in finding a vertex of the network whose expected number of reachable vertices is maximum. Such a vertex is called a most reliable source of the network. This problem was studied by Melachrinoudis and Helander (1996) where an O(n2) time algorithm was proposed when the given network is a tree. In a more recent paper, Xue presented an O(n) time algorithm for this problem when the given network is a tree. In this paper, we present an O(n) time algorithm for computing the most reliable source on series-parallel graphs, using their embeddings in 2-trees.

Original language English (US) 331-345 15 Theoretical Computer Science 209 1-2 Published - Dec 6 1998 Yes

### Fingerprint

Series-parallel Graph
Linear-time Algorithm
Computing
Vertex of a graph

### Keywords

• Algorithms
• Network reliability
• Partial 2-trees
• Series-parallel graph
• Time complexity

### ASJC Scopus subject areas

• Computational Theory and Mathematics

### Cite this

In: Theoretical Computer Science, Vol. 209, No. 1-2, 06.12.1998, p. 331-345.

Research output: Contribution to journalArticle

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