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- W3019987356 abstract "We prove that the Hadwiger number of an $n$-vertex graph $G$ (the maximum size of a clique minor in $G$) cannot be computed in time $n^{o(n)}$, unless the Exponential Time Hypothesis (ETH) fails. This resolves a well-known open question in the area of exact exponential algorithms. The technique developed for resolving the Hadwiger number problem has a wider applicability. We use it to rule out the existence of $n^{o(n)}$-time algorithms (up to ETH) for a large class of computational problems concerning edge contractions in graphs." @default.
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- W3019987356 date "2020-04-24" @default.
- W3019987356 modified "2023-09-23" @default.
- W3019987356 title "Computation of Hadwiger Number and Related Contraction Problems: Tight Lower Bounds" @default.
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