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Abstract: In this paper we consider the following game: players must alternately color the lowest numbered uncolored vertex of a given graph G = ({1, 2, ..., n), E) with a color, taken from a given set C, such that never two adjacent vertices are colored with the same color. In one variant, the first player which is unable to move, loses the game. In another variant, player 1 wins the game if and only if the game ends with all vertices colored. We show that for both variants, the problem to determine... (Update)
Context of citations to this paper: More
...is well defined since we clearly have (G) gcn(G) jV (G)j. The game chromatic number of a graph was first introduced by Bodlaender in [1] and then studied by Bodlaender and Kratsch [2] Faigle, Kern, Kierstead and Trotter [8] This work has been partially supported by the...
...is well de ned since we clearly have (G) gcn(G) jV (G)j. The game chromatic number of a graph was rst introduced by Bodlaender in [1] and then studied by Bodlaender and Kratsch [2] Faigle, Kern, Kierstead and Trotter [7] Kierstead and Trotter [11] Dinski and Zhu [5]...
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BibTeX entry: (Update)
H. L. Bodlaender, On the Complexity of Some Coloring Games, Intl. J. Founds. Comp. Sci., 2 (1991), pp. 133-147. http://citeseer.ist.psu.edu/bodlaender89complexity.html More
@incollection{ bodlaender91complexity,
author = "Hans L. Bodlaender",
title = "On the Complexity of Some Coloring Games",
booktitle = "Graph-Theoretic Concepts in Computer Science (Proceedings of the 16th International Workshop {WG} '90, Berlin, Germany, June, 1990)",
volume = "484",
publisher = "Springer-Verlag",
address = "Berlin",
editor = "R. H. M{\"o}hring",
pages = "30--40",
year = "1991",
url = "citeseer.ist.psu.edu/bodlaender89complexity.html" }
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