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arXiv · 1402.2589

Partitioning Perfect Graphs into Stars

René van Bevern·Robert Bredereck·Laurent Bulteau·Jiehua Chen·Vincent Froese·Rolf Niedermeier·Gerhard J. Woeginger
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Abstract

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 same-size 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-complete cases, for example, on grid graphs and chordal graphs.

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René van Bevern, Robert Bredereck, Laurent Bulteau, Jiehua Chen, Vincent Froese, Rolf Niedermeier, Gerhard J. Woeginger. 2014-02-11. Partitioning Perfect Graphs into Stars. https://doi.org/10.1002/jgt.22062

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