Blocking dominating sets for H-free graphs via edge contractions

06/28/2019
by   Esther Galby, et al.
0

In this paper, we consider the following problem: given a connected graph G, can we reduce the domination number of G by one by using only one edge contraction? We show that the problem is coNP-hard when restricted to subcubic claw-free graphs and P_7-free graphs.

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