Abstract : In this paper, we study (1 : b) Avoider-Enforcer games played on the edge set of the complete graph on n vertices. For every constant k≥3 we analyse the k-star game, where Avoider tries to avoid claiming k edges incident to the same vertex. We consider both versions of Avoider-Enforcer games — the strict and the monotone — and for each provide explicit winning strategies for both players. We determine the order of magnitude of the threshold biases fmonF, f-F and f+F, where F is the hypergraph of the game.
https://hal.inria.fr/hal-01196868
Contributeur : Coordination Episciences Iam
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Soumis le : jeudi 10 septembre 2015 - 15:17:34
Dernière modification le : jeudi 7 septembre 2017 - 01:03:43
Document(s) archivé(s) le : mardi 29 décembre 2015 - 00:03:41
Andrzej Grzesik, Mirjana Mikalački, Zoltán Lóránt Nagy, Alon Naor, Balázs Patkós, et al.. Avoider-enforcer star games. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2015, Vol. 17 no. 1 (in progress) (1), pp.145--160. 〈hal-01196868〉
