Graphs and Combinatorics

, Volume 24, Issue 2, pp 67–70 | Cite as

A Note on the Game Chromatic Index of Graphs

  • Tomasz Bartnicki
  • Jarosław Grytczuk


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.


Chromatic index game chromatic index arboricity 


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Copyright information

© Springer Japan 2008

Authors and Affiliations

  1. 1.Faculty of Mathematics, Computer Science, and EconometricsmUniversity of Zielona GóraZielona GóraPoland
  2. 2.Theoretical Computer Science DepartmentJagiellonian UniversityKrakówPoland

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