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On the game chromatic number of sparse r...
Frieze, Alan...
On the game chromatic number of sparse random graphs by Frieze, Alan ( Author )
Australian National University
07-07-2023
Given a graph G and an integer k, two players take turns coloring the vertices of G one by one using k colors so that neighboring vertices get different colors. The first player wins iff at the end of the game all the vertices of $G$ are colored. The game chromatic number \chi_g(G) is the minimum k for which the first player has a winning strategy. The paper \cite{BFS} began the analysis of the asymptotic behavior of this parameter for a random graph G_{n,p}. This paper provides some further analysis for graphs with constant average degree i.e. np=O(1) and for random regular graphs.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1201.0046
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