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Choosability of Powers of Circuits

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Abstract.

 It is proved that ch(G)=χ(G) if G=C n p, the pth power of the circuit graph C n , or if G is a uniform inflation of such a graph. The proof uses the method of Alon and Tarsi. As a corollary, the (a : b)-choosability conjectures hold for all such graphs.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK., , , , , , GB

    Anton Prowse

  2. School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK. e-mail: douglas.woodall@nottingham.ac.uk, , , , , , GB

    Douglas R. Woodall

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  1. Anton Prowse
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  2. Douglas R. Woodall
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Received: October 10, 2000 Final version received: November 8, 2001

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Prowse, A., Woodall, D. Choosability of Powers of Circuits. Graphs and Combinatorics 19, 137–144 (2003). https://doi.org/10.1007/s00373-002-0486-8

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  • DOI: https://doi.org/10.1007/s00373-002-0486-8