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A new linear algorithm for the two path problem on chordal graphs

  • S. V. Krishnan
  • C. Pandu Rangan
  • S. Seshadri
Session 2 Algorithms
Part of the Lecture Notes in Computer Science book series (LNCS, volume 338)

Abstract

Let G= (V,E) be a finite undirected graph with four distinguished vertices s, t, u, v. The two path problem (TPP) is to determine whether there exist two vertex disjoint paths connecting s with t and u with v and to find such paths if they exist.

In this paper, a simple and efficient algorithm for TPP restricted to 2-connected chordal graphs is given. The reduction of TPP for a general chordal graph to the TPP for a 2-connected chordal graph is outlined.

Keywords

Disjoint Path Chordal Graph Block Graph Vertex Disjoint Path Biconnected Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Ebert,J., A Linear Disjoint Path Algorithm, Proceedings WG82, Munich: Hanser Verlag (1982) 37–45.Google Scholar
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    Golumbic,M.C., Algorithmic Graph Theory and Perfect Graphs, Academic Press 1980.Google Scholar
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    Ohtsuki, T., The two disjoint path problem and wire routing design, Graph Theory and Algorithms (Eds. Saito,N. and Nishizeki,T.) Springer 108 (1980) 207–216.Google Scholar
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    Perl, Y. and Shiloach, Y., Finding two disjoint paths between two pairs of vertices in a graph, Journal of ACM, 25 (1978) 1–9.Google Scholar
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    Ramprasad,P.B. and Pandu Rangan,C., A new linear algorithm for the two path problem on planar graphs (To appear).Google Scholar
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    Shiloach, Y., A polynomial solution to the undirected two path problem, Journal of ACM, 27 (1980) 445–456.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • S. V. Krishnan
    • 1
  • C. Pandu Rangan
    • 1
  • S. Seshadri
    • 1
  1. 1.Department of Computer Science and EngineeringIndian Institute of TechnologyMadras

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