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A Note on the Game Chromatic Index of Graphs

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Abstract

In this note we prove that the game chromatic index χ ′ g (G) of a graph G of arboricity k is at most Δ + 3k − 1. This improves a bound obtained by Cai and Zhu [J. Graph Theory 36 (2001), 144–155] for k-degenerate graphs.

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Authors and Affiliations

  1. Faculty of Mathematics, Computer Science, and Econometricsm, University of Zielona Góra, ul. Szafrana 4a, 65-516, Zielona Góra, Poland

    Tomasz Bartnicki

  2. Theoretical Computer Science Department, Jagiellonian University, ul. Gronostajowa 3, 30-387, Kraków, Poland

    Jarosław Grytczuk

Authors
  1. Tomasz Bartnicki
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  2. Jarosław Grytczuk
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Correspondence to Tomasz Bartnicki.

Additional information

Tomasz Bartnicki: Research of the first author is supported by a PhD grant from Polish Ministry of Science and Higher Education N201 2128 33.

Received: November 1, 2006. Final version received: December 22, 2007.

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Bartnicki, T., Grytczuk, J. A Note on the Game Chromatic Index of Graphs. Graphs and Combinatorics 24, 67–70 (2008). https://doi.org/10.1007/s00373-008-0774-z

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  • DOI: https://doi.org/10.1007/s00373-008-0774-z

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