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arXiv · 1808.09591

The eternal dominating set problem for interval graphs

Martín Rinemberg·Francisco J. Soulignac
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Abstract

We prove that, in games in which all the guards move at the same turn, the eternal domination and the clique-connected cover numbers coincide for interval graphs. A linear algorithm for the eternal dominating set problem is obtained as a by-product.

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Martín Rinemberg, Francisco J. Soulignac. 2018-08-29. The eternal dominating set problem for interval graphs. https://arxiv.org/abs/1808.09591

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