A graph G is k-choosable if it admits a vertex-coloring whenever the colors allowed at each vertex are restricted to a list of length k. If Ο denotes the usual chromatic number of G, we are interested in which kind of G is Ο-choosable. This question contains a famous conjecture, which states that ev
Graphs Whose Circular Chromatic Number Equals the Chromatic Number
β Scribed by Xuding Zhu
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- English
- Weight
- 206 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0209-9683
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## Abstract This article studies the circular chromatic number of a class of circular partitionable graphs. We prove that an infinite family of circular partitionable graphs __G__ has $\chi\_ c (G) = \chi(G)$. A consequence of this result is that we obtain an infinite family of graphs __G__ with th
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