Circular choosability of graphs

  title={Circular choosability of graphs},
  author={Xuding Zhu},
  journal={Journal of Graph Theory},
This paper discusses the circular version of list coloring of graphs. We give two definitions of the circular list chromatic number (or circular choosability) of a graph and prove that they are equivalent. Then we prove that for any graph , . Examples are given to show that this bound is sharp in the sense that for any , there is a graph with . It is also proved that -degenerate graphs have . This bound is also sharp: for each , there is a -degenerate graph with . This shows that could be… CONTINUE READING
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Choosability for the circular chromatic number

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  • mohar/Problems…
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