000 a
999 _c30046
_d30046
008 200612b xxu||||| |||| 00| 0 eng d
020 _a9781498750493
082 _a511.5
_bSCH
100 _aSchaefer, Marcus
245 _aCrossing numbers of graphs
260 _bCRC Press
_c2018
_aUnited States
300 _axxvi, 350 p.
_bill.
_c24 cm.
365 _b79.99
_cGBP
_d98.20
490 _aDiscrete mathematics and its application
504 _aIncludes bibliographical references and index
520 _aCrossing Numbers of Graphs is the first book devoted to the crossing number, an increasingly popular object of study with surprising connections. The field has matured into a large body of work, which includes identifiable core results and techniques. The book presents a wide variety of ideas and techniques in topological graph theory, discrete geometry, and computer science. The first part of the text deals with traditional crossing number, crossing number values, crossing lemma, related parameters, computational complexity, and algorithms. The second part includes the rich history of alternative crossing numbers, the rectilinear crossing number, the pair crossing number, and the independent odd crossing number.It also includes applications of the crossing number outside topological graph theory.
650 _aTopological graph theory
650 _aGeometry, Plane -- Textbooks
650 _aGraph theory
942 _2ddc
_cBK