Positional games

by Hefetz, Dan

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Positional games / Dan Hefetz, Michael Krivelevich, Miloš Stojaković, Tibor Szabó.

Summary

This textserves 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.

Edition Statements

Publication Date:2014.

Publication Statements

Publisher(s):Birkhäuser
Place of Publication:Basel
Language:eng
Publication Date:2014.

The Physical Object

Description:1 online resource (x, 146 pages) : : illustrations (some color)

Edition Identifiers

ISBN:9783034808255, 3034808259, 3034808240, 9783034808248
DOI:10.1007/978-3-0348-0825-5
oclc:ocn881712525
LC Classification:QA269
Dewey Decimal:519.3

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.