Algorithms for deletion problems on split graphs

06/24/2019

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by   Dekel Tsur, et al.

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In the Split to Block Vertex Deletion and Split to Threshold Vertex Deletion problems the input is a split graph G and an integer k, and the goal is to decide whether there is a set S of at most k vertices such that G-S is a block graph and G-S is a threshold graph, respectively. In this paper we give algorithms for these problems whose running times are O^*(2.076^k) and O^*(2.733^k), respectively.