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Maximum Connected Domatic Partition of Directed Path Graphs with Single Junction

  • Masaya Mito
  • Satoshi Fujita
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5092)

Abstract

In this paper, we consider the problem of finding a maximum connected domatic partition of a given graph. We propose a polynomial time algorithm for solving the problem for a subclass of directed path graphs which is known as a class of intersection graphs modeled by a set of directed paths on a directed tree. More specifically, we restrict the class of directed path graphs in such a way that the underlying directed tree has at most one node to have several incoming arcs.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Masaya Mito
    • 1
  • Satoshi Fujita
    • 1
  1. 1.Department of Information Engineering Graduate School of EngineeringHiroshima University 

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