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ArticleOriginal scientific text

Title

A linear algorithm for the two paths problem on permutation graphs

Authors 1, 1

Affiliations

  1. Department of Computer Science, Indian Institute of Technology

Abstract

The 'two paths problem' is stated as follows. Given an undirected graph G = (V,E) and vertices s₁,t₁;s₂,t₂, the problem is to determine whether or not G admits two vertex-disjoint paths P₁ and P₂ connecting s₁ with t₁ and s₂ with t₂ respectively. In this paper we give a linear (O(|V|+ |E|)) algorithm to solve the above problem on a permutation graph.

Keywords

ENG
algorithm, bridge, connectivity, disjoint paths, permutation graph, two paths problem

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Discussiones Mathematicae Graph Theory
1995/15/2
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Pages:
147-166
Main language of publication
English
Received
1994-05-09
Published
1995
Exact and natural sciences