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14

FAW
2009
Springer

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Pathwidth is NP-Hard for Weighted Trees

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Pathwidth is NP-Hard for Weighted Trees

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The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. We prove in this paper that the PATHWIDTH problem is NP-hard for particular subclasses of chordal graphs, and we deduce that the problem remains hard for weighted trees. We also discuss subclasses of chordal graphs for which the problem is polynomial.

Rodica Mihai, Ioan Todinca

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Algorithms | Chordal Graphs | FAW 2009 | Minimum Clique Number | Particular Subclasses |

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Added	26 May 2010
Updated	26 May 2010
Type	Conference
Year	2009
Where	FAW
Authors	Rodica Mihai, Ioan Todinca

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