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008 160915s2014 sz | s |||| 0|eng d
020 _a9783034808255
_9978-3-0348-0825-5
024 7 _a10.1007/978-3-0348-0825-5
_2doi
035 _ato000541813
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA164-167.2
072 7 _aPBV
_2bicssc
072 7 _aMAT036000
_2bisacsh
082 0 4 _a511.6
_223
100 1 _aHefetz, Dan.
_eauthor.
_9446993
245 1 0 _aPositional Games
_helectronic resource
_cby Dan Hefetz, Michael Krivelevich, Miloš Stojaković, Tibor Szabó.
260 _aBasel :
_bSpringer Basel :
_bImprint: Birkhäuser,
_c2014.
300 _aX, 146 p. 13 illus., 8 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aOberwolfach Seminars,
_x1661-237X ;
_v44
505 0 _aPreface -- 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.
520 _aThis 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.
650 0 _amathematics.
_9566183
650 0 _aCombinatorics.
_9304006
650 1 4 _aMathematics.
_9566184
650 2 4 _aCombinatorics.
_9304006
650 2 4 _aGame Theory, Economics, Social and Behav. Sciences.
_9304112
700 1 _aKrivelevich, Michael.
_eauthor.
_9446994
700 1 _aStojaković, Miloš.
_eauthor.
_9446995
700 1 _aSzabó, Tibor.
_eauthor.
_9446996
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aOberwolfach Seminars,
_9330504
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0825-5
912 _aZDB-2-SMA
999 _c399364