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arxiv: 1808.09591 · v1 · pith:3M5QXKIDnew · submitted 2018-08-29 · 💻 cs.DM · math.CO

The eternal dominating set problem for interval graphs

classification 💻 cs.DM math.CO
keywords eternaldominatinggraphsintervalproblemalgorithmby-productclique-connected
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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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