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arXiv · 1208.5878

Avoider-Enforcer games played on edge disjoint hypergraphs

Asaf Ferber·Michael Krivelevich·Alon Naor
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Abstract

We analyze Avoider-Enforcer games played on edge disjoint hypergraphs, providing an analog of the classic and well known game $Box$, due to Chvátal and Erdős. We consider both strict and monotone versions of Avoider-Enforcer games, and for each version we give a sufficient condition to win for each player. We also present applications of our results to several general Avoider-Enforcer games.

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Asaf Ferber, Michael Krivelevich, Alon Naor. 2013-09-08. Avoider-Enforcer games played on edge disjoint hypergraphs. https://arxiv.org/abs/1208.5878

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