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Viser: Positional Games

Positional Games
Søgbar e-bog

Positional Games Vital Source e-bog

Dan Hefetz, Michael Krivelevich, Miloš Stojakovic og Tibor Szabó
(2014)
Springer Nature
317,00 kr.
Leveres umiddelbart efter køb
Positional Games, 1. udgave

Positional Games

Dan Hefetz, Michael Krivelevich, Tibor Szabó og Milos Stojakovic
(2014)
Sprog: Engelsk
Springer Basel AG
314,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.

Detaljer om varen

  • Vital Source searchable e-book (Fixed pages)
  • Udgiver: Springer Nature (Juni 2014)
  • Forfattere: Dan Hefetz, Michael Krivelevich, Miloš Stojakovic og Tibor Szabó
  • ISBN: 9783034808255
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 reader to better understand the theory. The text will benefit both researchers and graduate students in combinatorics and adjacent fields.
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Detaljer om varen

  • 1. Udgave
  • Paperback: 164 sider
  • Udgiver: Springer Basel AG (Juli 2014)
  • Forfattere: Dan Hefetz, Michael Krivelevich, Tibor Szabó og Milos Stojakovic
  • ISBN: 9783034808248
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 reader to better understand the theory. The text will benefit both researchers and graduate students in combinatorics and adjacent fields.
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.
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