Crossing Numbers of Graphs

Nonfiction, Science & Nature, Mathematics, Combinatorics, Arithmetic, Computers, Operating Systems
Cover of the book Crossing Numbers of Graphs by Marcus Schaefer, CRC Press
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Author: Marcus Schaefer ISBN: 9781351648448
Publisher: CRC Press Publication: January 2, 2018
Imprint: CRC Press Language: English
Author: Marcus Schaefer
ISBN: 9781351648448
Publisher: CRC Press
Publication: January 2, 2018
Imprint: CRC Press
Language: English

Crossing 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.

  • Aimed at graduate students and professionals in both mathematics and computer science
  • The first book of its kind devoted to the topic
  • Authored by a noted authority in crossing numbers
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Crossing 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.

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