Edge-disjoint paths in permutation graphs

• Autorzy: C. P. Gopalakrishnan , C. Pandu Rangan
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

algorithm; bridge; connectivity; disjoint paths; permutation graph

Kategorie tematyczne

• 05C38: Paths and cycles

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 1995
• Tom: 15
• Numer: 1
• Strony: 59-72

Daty

wydano

1995

otrzymano

1994-05-04

Twórcy

autor

C. P. Gopalakrishnan

• Department of Computer Science, Indian Institute of Technology, Madras 600 036, India

autor

C. Pandu Rangan

• Department of Computer Science, Indian Institute of Technology, Madras 600 036, India

Bibliografia

• [AKP] K. Arvind, V. Kamakoti, C. Pandu Rangan, Efficient Parallel Algorithms for Permutation Graphs, to appear in Journal of Parallel and Distributed Computing.
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• [SP 91] A. Srinivasa Rao, C. Pandu Rangan, Linear algorithms for parity path and two path problems on circular arc graphs, BIT 31 (1991) 182-193.
• [KPS 91] S. V. Krishnan, C. Pandu Rangan, S. Seshadri, A. Schwill, Two Disjoint Paths in Chordal graphs, Technical report, 2/91, February 1991, University of Oldenburg, Germany.

Identyfikatory

DOI

10.7151/dmgt.1007