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Subexponential Parameterized Algorithms for Cut and Cycle Hitting Problems on H-Minor-Free Graphs
[article]

2022
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arXiv
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pre-print

We design the first subexponential-time (parameterized) algorithms for several cut and cycle-hitting problems on H-minor free graphs. In particular, we obtain the following results (where k is the solution-size parameter). 1. 2^O(√(k)log k)· n^O(1) time algorithms for Edge Bipartization and Odd Cycle Transversal; 2. a 2^O(√(k)log^4 k)· n^O(1) time algorithm for Edge Multiway Cut and a 2^O(r √(k)log k)· n^O(1) time algorithm for Vertex Multiway Cut, where r is the number of terminals to be

arXiv:2111.14196v2
fatcat:2zgpjjrspjcqxm7u6xzhbneiwa