Star Partitions of Perfect Graphs

被引:0
|
作者
van Bevern, Rene [1 ]
Bredereck, Robert [1 ]
Bulteau, Laurent [1 ]
Chen, Jiehua [1 ]
Froese, Vincent [1 ]
Niedermeier, Rolf [1 ]
Woeginger, Gerhard J. [2 ]
机构
[1] TU Berlin, Inst Softwaretech & Theoret Informat, Berlin, Germany
[2] TU Eindhoven, Dept Math & Comp Sci, Eindhoven, Netherlands
关键词
BIPARTITE GRAPHS; CHORDAL GRAPHS; PATH PARTITION; COMPLEXITY;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The partition of graphs into nice subgraphs is a central algorithmic problem with strong ties to matching theory. We study the partitioning of undirected graphs into stars, a problem known to be NP-complete even for the case of stars on three vertices. We perform a thorough computational complexity study of the problem on subclasses of perfect graphs and identify several polynomial-time solvable cases, for example, on interval graphs and bipartite permutation graphs, and also NP-hard cases, for example, on grid graphs and chordal graphs.
引用
收藏
页码:174 / 185
页数:12
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