English

Avoider-Enforcer games played on edge disjoint hypergraphs

Combinatorics 2013-09-10 v4

Abstract

We analyze Avoider-Enforcer games played on edge disjoint hypergraphs, providing an analog of the classic and well known game BoxBox, due to Chv\'{a}tal and Erd\H{o}s. 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.

Keywords

Cite

@article{arxiv.1208.5878,
  title  = {Avoider-Enforcer games played on edge disjoint hypergraphs},
  author = {Asaf Ferber and Michael Krivelevich and Alon Naor},
  journal= {arXiv preprint arXiv:1208.5878},
  year   = {2013}
}
R2 v1 2026-06-21T21:56:45.638Z