000 | 02983nam a22004935i 4500 | ||
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001 | vtls000541813 | ||
003 | RU-ToGU | ||
005 | 20210922082121.0 | ||
007 | cr nn 008mamaa | ||
008 | 160915s2014 sz | s |||| 0|eng d | ||
020 |
_a9783034808255 _9978-3-0348-0825-5 |
||
024 | 7 |
_a10.1007/978-3-0348-0825-5 _2doi |
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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 |