<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. |
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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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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783034808255 |
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EB00229551 |
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