Reducing the domination number of graphs via edge contractions

Published 5 Mar 2019 in cs.CC, cs.DM, and math.CO | (1903.01800v1)

Abstract: In this paper, we study the following problem: given a connected graph $G$, can we reduce the domination number of $G$ by at least one using $k$ edge contractions, for some fixed integer $k \geq 0$? We present positive and negative results regarding the computational complexity of this problem.

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