Reducing the domination number of graphs via edge contractions

Esther Galby; Paloma T. Lima; Bernard Ries

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arXiv · 1903.01800

Reducing the domination number of graphs via edge contractions

Esther Galby·Paloma T. Lima·Bernard Ries

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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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Esther Galby, Paloma T. Lima, Bernard Ries. 2019-03-05. Reducing the domination number of graphs via edge contractions. https://arxiv.org/abs/1903.01800

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