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- W2038049091 abstract "We show that the treewidth and the minimum fill-in of an n-vertex graph can be computed in time $mathcal{O}(1.8899^n)$. Our results are based on combinatorial proofs that an n-vertex graph has $mathcal{O}(1.7087^n)$ minimal separators and $mathcal{O}(1.8135^n)$ potential maximal cliques. We also show that for the class of asteroidal triple–free graphs the running time of our algorithms can be reduced to $mathcal{O}(1.4142^n)$." @default.
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- W2038049091 date "2008-01-01" @default.
- W2038049091 modified "2023-10-16" @default.
- W2038049091 title "Exact Algorithms for Treewidth and Minimum Fill-In" @default.
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- W2038049091 doi "https://doi.org/10.1137/050643350" @default.
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