Faster parameterized algorithm for pumpkin vertex deletion set

01/08/2019

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by   Dekel Tsur, et al.

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A directed graph G is called a pumpkin if G is a union of induced paths with a common start vertex s and a common end vertex t, and the internal vertices of every two paths are disjoint. We give an algorithm that given a directed graph G and an integer k, decides whether a pumpkin can be obtained from G by deleting at most k vertices. The algorithm runs in O^*(2^k) time.