| 书目名称 | Positional Games | | 编辑 | Dan Hefetz,Michael Krivelevich,Tibor Szabó | | 视频video | | | 概述 | Unique, concise introductory text to the subject.Covers classical topics as well as recent very important developments.Relatively short, clear and self-contained text, accessible to a general mathemat | | 丛书名称 | Oberwolfach Seminars | | 图书封面 |  | | 描述 | This text is based on a lecture course given by the authors in the framework of Oberwolfach Seminars at the Mathematisches Forschungsinstitut Oberwolfach in May, 2013. It is intended to serve 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 ranges 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 readerto better understand the theory. The text will benefit both researchers and graduate students in combinatorics and adjacent fields. | | 出版日期 | Textbook 2014 | | 关键词 | Ramsey theory; positional games; random graphs; combinatorics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-0825-5 | | isbn_softcover | 978-3-0348-0824-8 | | isbn_ebook | 978-3-0348-0825-5Series ISSN 1661-237X Series E-ISSN 2296-5041 | | issn_series | 1661-237X | | copyright | Springer Basel 2014 |
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发表于 2025-3-21 17:05:50
