rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Positional Games
  name:
    name part: Hefetz, Dan.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Krivelevich, Michael.
    role:
      role term: author.
  name:
    name part: Stojaković, Miloš.
    role:
      role term: author.
  name:
    name part: Szabó, Tibor.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 146 p. 13 illus., 8 illus. in color. online resource.
  abstract: 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.
  table of contents: 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.
  note: by Dan Hefetz, Michael Krivelevich, Miloš Stojaković, Tibor Szabó.
  subject:
    topic: Mathematics
  subject:
    topic: Game theory
  subject:
    topic: Combinatorics
  subject:
    topic: Mathematics
  subject:
    topic: Combinatorics
  subject:
    topic: Game Theory, Economics, Social and Behav. Sciences
  classification: QA164-167.2
  classification: 511.6
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Oberwolfach Seminars, 44
  identifier: 9783034808255
  identifier: http://dx.doi.org/10.1007/978-3-0348-0825-5
  record info:
    record creation date: 140613
    record change date: 20151029211855.0
    record identifier: 978-3-0348-0825-5