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Positional Games

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 fr...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Hefetz, Dan (Autor), Krivelevich, Michael (Autor), Stojaković, Miloš (Autor), Szabó, Tibor (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2014.
Edición:1st ed. 2014.
Colección:Oberwolfach Seminars, 44
Temas:
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:X, 146 p. 13 illus., 8 illus. in color. online resource.
ISBN:9783034808255
ISSN:2296-5041 ;