A Combinatorial Algorithm for Minimum Weighted Colorings of Claw-Free Perfect Graphs

被引:0
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作者
Xueliang Li
Wenan Zang
机构
[1] Nankai University,Center for Combinatorics
[2] University of Hong Kong,Department of Mathematics
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关键词
perfect graph; graph coloring; network flow; algorithm; complexity;
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摘要
We present an O(n5) combinatorial algorithm for the minimum weighted coloring problem on claw-free perfect graphs, which was posed by Hsu and Nemhauser in 1984. Our algorithm heavily relies on the structural descriptions of claw-free perfect graphs given by Chavátal and Sbihi and by Maffray and Reed.
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页码:331 / 347
页数:16
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