Avoider-Enforcer Game is NP-hard

Tillmann Miltzow; Miloš Stojaković

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arXiv · 2208.06687

Avoider-Enforcer Game is NP-hard

Tillmann Miltzow·Miloš Stojaković

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Abstract

In an Avoider-Enforcer game, we are given a hypergraph. Avoider and Enforcer alternate in claiming an unclaimed vertex, until all the vertices of the hypergraph are claimed. Enforcer wins if Avoider claims all vertices of an edge; Avoider wins otherwise. We show that it is NP-hard to decide if Avoider has a winning strategy.

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Tillmann Miltzow, Miloš Stojaković. 2022-08-13. Avoider-Enforcer Game is NP-hard. https://arxiv.org/abs/2208.06687

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