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发表于 2025-3-25 04:29:21 | 显示全部楼层
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https://doi.org/10.1007/978-3-642-11349-9than that of tree-width. We show a subexponential algorithm (running in time exp.(..)) for computing the Tutte polynomial on cographs. The algorithm can be extended to a subexponential algorithm computing the Tutte polynomial on on all graphs of bounded clique-width. In fact, our algorithm computes the more general .-polynomial... 05C85, 68R10.
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https://doi.org/10.1007/978-3-319-49197-4 will characterise the potential maximal cliques of permutation graphs and give a characterisation of minimal triangulations of permutation graphs in terms of sets of potential maximal cliques. This results in linear-time algorithms for computing treewidth and minimum fill-in for permutation graphs.
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Approximating Rank-Width and Clique-Width Quicklyunded clique-width. It is known that many hard graph problems have polynomial-time algorithms for graphs of bounded clique-width, however, requiring a given decomposition corresponding to clique-width (.); they remove this requirement by constructing an algorithm that either outputs a rank-decomposi
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Computing the Tutte Polynomial on Graphs of Bounded Clique-Widthhose of bounded tree-width. The notion of clique-width extends the definition of cograhs (graphs without induced ..), and it is a more general notion than that of tree-width. We show a subexponential algorithm (running in time exp.(..)) for computing the Tutte polynomial on cographs. The algorithm c
发表于 2025-3-26 09:41:16 | 显示全部楼层
Minimizing NLC-Width is NP-Complete at most . if its line graph has NLC-width or clique-width at most .. In [9] it is shown that a line graph has NLC-width at most .+2 and clique-width at most 2.+2 if the root graph has tree-width .. Using these bounds we show by a reduction from tree-width minimization that NLC-width minimization is
发表于 2025-3-26 15:20:38 | 显示全部楼层
Computing Treewidth and Minimum Fill-In for Permutation Graphs in Linear Times a minimal triangulation of .. A potential maximal clique of . is a set of vertices that induces a maximal clique in a minimal triangulation of .. We will characterise the potential maximal cliques of permutation graphs and give a characterisation of minimal triangulations of permutation graphs in
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