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＜電子ブック＞
Positional Games / by Dan Hefetz, Michael Krivelevich, Miloš Stojaković, Tibor Szabó
(Oberwolfach Seminars. ISSN:22965041 ; 44)

版	1st ed. 2014.
出版者	(Basel : Springer Basel : Imprint: Birkhäuser)
出版年	2014
本文言語	英語
大きさ	X, 146 p. 13 illus., 8 illus. in color : online resource
著者標目	*Hefetz, Dan author Krivelevich, Michael author Stojaković, Miloš author Szabó, Tibor author SpringerLink (Online service)
件　名	LCSH:Discrete mathematics LCSH:Game theory FREE:Discrete Mathematics FREE:Game Theory
一般注記	Preface -- 1 Introduction -- 2 Maker-Breaker Games -- 3 Biased Games -- 4 Avoider-Enforcer Games -- 5 The Connectivity Game -- 6 The Hamiltonicity Game -- 7 Fast and Strong -- 8 Random Boards -- 9 The Neighborhood Conjecture -- Bibliography This text serves as a thorough introduction to the rapidly developing field of positional games. This area constitutes an important branch of combinatorics, whose aim it is to systematically develop an extensive mathematical basis for a variety of two-player perfect information games. These range from such popular games as Tic-Tac-Toe and Hex to purely abstract games played on graphs and hypergraphs. The subject of positional games is strongly related to several other branches of combinatorics such as Ramsey theory, extremal graph and set theory, and the probabilistic method. These notes cover a variety of topics in positional games, including both classical results and recent important developments. They are presented in an accessible way and are accompanied by exercises of varying difficulty, helping the reader to better understand the theory. The text will benefit both researchers and graduate students in combinatorics and adjacent fields HTTP:URL=https://doi.org/10.1007/978-3-0348-0825-5

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