On the Circular Chromatic Number of Circular Partitionable Graphs

Arnaud Pêcher 1, 2 Xuding Zhu 3
2 Realopt - Reformulations based algorithms for Combinatorial Optimization
LaBRI - Laboratoire Bordelais de Recherche en Informatique, IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : This paper studies the circular chromatic number of a class of circular partitionable graphs. We prove that an infinite family of circular partitionable graphs Ghas Xc (G) = X (G). A consequence of this result is that we obtain an infinite family of graphs G with the rare property that the deletion of each vertex decreases its circular chromatic number by exactly 1
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Arnaud Pêcher, Xuding Zhu. On the Circular Chromatic Number of Circular Partitionable Graphs. Journal of Graph Theory, Wiley, 2006, 52, pp.294--306. ⟨hal-00307764⟩

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