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- W4293466730 abstract "We give the first polynomial-time algorithms on graphs of bounded maximum induced matching width (mim-width) for problems that are not locally checkable. In particular, we give $n^{mathcal{O}(w)}$-time algorithms on graphs of mim-width at most $w$, when given a decomposition, for the following problems: Longest Induced Path, Induced Disjoint Paths and $H$-Induced Topological Minor for fixed $H$. Our results imply that the following graph classes have polynomial-time algorithms for these three problems: Interval and Bi-Interval graphs, Circular Arc, Permutation and Circular Permutation graphs, Convex graphs, $k$-Trapezoid, Circular $k$-Trapezoid, $k$-Polygon, Dilworth-$k$ and Co-$k$-Degenerate graphs for fixed $k$." @default.
- W4293466730 created "2022-08-29" @default.
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- W4293466730 date "2017-08-15" @default.
- W4293466730 modified "2023-09-27" @default.
- W4293466730 title "Polynomial-time algorithms for the Longest Induced Path and Induced Disjoint Paths problems on graphs of bounded mim-width" @default.
- W4293466730 doi "https://doi.org/10.48550/arxiv.1708.04536" @default.
- W4293466730 hasPublicationYear "2017" @default.
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