Computation of Hadwiger Number and Related Contraction Problems: Tight Lower Bounds
Meirav Zehavi (BGU, Beersheba)
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.
Joint work with Fomin, Lokshtanov, Mihajlin and Saurabh.
discrete mathematicscombinatorics
Audience: researchers in the discipline
LA Combinatorics and Complexity Seminar
Series comments: Password is on the seminar page. www.math.ucla.edu/~pak/seminars/CCSem-Fall-2020.htm
Organizers: | Igor Pak*, Greta Panova |
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