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• W2091208300 abstract "In this paper, we show that the treewidth and pathwidth of a permutation graph can be computed in polynomial time. In fact we show that, for permutation graphs, the treewidth and pathwidth are equal. These results make permutation graphs one of the few nontrivial graph classes for which, at the moment, treewidth is known to be computable in polynomial time. Our algorithm, which decides whether the treewidth (pathwidth) is at most some given integer k, can be implemented to run in $O( nk )$ time when the matching diagram is given. We show that this algorithm can easily be adapted to compute the pathwidth of a permutation graph in $O( nk )$ time, where k is the pathwidth." @default.
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• W2091208300 date "1995-11-01" @default.
• W2091208300 modified "2023-09-23" @default.
• W2091208300 title "Treewidth and Pathwidth of Permutation Graphs" @default.
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• W2091208300 doi "https://doi.org/10.1137/s089548019223992x" @default.
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