Abstract
In the Cograph Deletion (resp., Cograph Editing) problem the input is a graph G and an integer k, and the goal is to decide whether there is a set of edges of size at most k whose removal from G (resp., removal and addition to G) results in a graph that does not contain an induced path with four vertices. In this paper we give algorithms for Cograph Deletion and Cograph Editing whose running times are O⁎(2.303k) and O⁎(4.329k), respectively.
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