On the Parameterized Complexity of Approximating Dominating Set

STOC '18: Symposium on Theory of Computing Los Angeles CA USA June, 2018, pp. 1-38, 2019.

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Parameterized inapproximabilitydominating setset cover

Abstract:

We study the parameterized complexity of approximating the k-Dominating Set (DomSet) problem where an integer k and a graph G on n vertices are given as input, and the goal is to find a dominating set of size at most F(k) ⋅ k whenever the graph G has a dominating set of size k. When such an algorithm runs in time T(k) ⋅ poly (n) (i.e., FP...More

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