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The Resource Positional Games, by Dan Hefetz, Michael Krivelevich, Miloš Stojaković, Tibor Szabó, (electronic resource)

Positional Games, by Dan Hefetz, Michael Krivelevich, Miloš Stojaković, Tibor Szabó, (electronic resource)

Creator
Author
Contributor
Summary
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
Language
eng
Work
Publication
Extent
X, 146 pages 13 illustrations, 8 illustrations in color.
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
Isbn
9783034808255
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0825-5
Instance
Label
Positional Games
Title
Positional Games
Statement of responsibility
by Dan Hefetz, Michael Krivelevich, Miloš Stojaković, Tibor Szabó
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
IT-FiEUI
http://library.link/vocab/creatorName
Hefetz, Dan
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Krivelevich, Michael.
  • Stojaković, Miloš.
  • Szabó, Tibor
  • SpringerLink (Online service)
Series statement
  • Oberwolfach Seminars,
  • Springer eBooks
Series volume
44
http://library.link/vocab/subjectName
  • Mathematics
  • Combinatorial analysis
Label
Positional Games, by Dan Hefetz, Michael Krivelevich, Miloš Stojaković, Tibor Szabó, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0825-5
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Control code
978-3-0348-0825-5
Dimensions
unknown
Extent
X, 146 pages 13 illustrations, 8 illustrations in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034808255
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0825-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1048159790
Label
Positional Games, by Dan Hefetz, Michael Krivelevich, Miloš Stojaković, Tibor Szabó, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0825-5
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Control code
978-3-0348-0825-5
Dimensions
unknown
Extent
X, 146 pages 13 illustrations, 8 illustrations in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034808255
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0825-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1048159790

Subject

Member of

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