On Chromatic Uniqueness And Equivalence of K4-Homeomorphic Graphs

نویسندگان

  • Sabina Catada-Ghimire
  • Roslan Hasni
چکیده

A K4-homeomorph is a subdivision of the complete graph with four vertices (K4). Such a homeomorph is denoted by K4(a,b,c,d,e,f) if the six edges of K4 are replaced by the six paths of length a,b,c,d,e,f, respectively. In this paper, we discuss the chromaticity of a family of K4-homeomorphs with girth 10. We also give sufficient and necessary condition for some graphs in the family to be chromatically unique.

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تاریخ انتشار 2010