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On Star Coloring of Graphs

  • Guillaume Fertin
  • André Raspaud
  • Bruce Reed
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2204)

Abstract

In this paper, we deal with the notion of star coloring of graphs. A star coloring of an undirected graph G is a proper vertex coloring of G (i.e., no two neighbors are assigned the same color) such that any path of length 3 in G is not bicolored.

We give the exact value of the star chromatic number of different families of graphs such as trees, cycles, complete bipartite graphs, outerplanar graphs and 2-dimensional grids. We also study and give bounds for the star chromatic number of other families of graphs, such as hypercubes, tori, d-dimensional grids, graphs with bounded treewidth and planar graphs.

Keywords

graphs vertex coloring proper coloring star coloring acyclic coloring treewidth 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Guillaume Fertin
    • 1
  • André Raspaud
    • 2
  • Bruce Reed
    • 3
  1. 1.IRIN UPRES-EA 2157, Université de NantesNantes Cedex 3France
  2. 2.LaBRI U.M.R. 5800, Université Bordeaux 1Talence CedexFrance
  3. 3.Univ. Paris 6 - Equipe Combinatoire - Case 189ParisFrance

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