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Crossing Numbers of Graphs
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Marcus Schaefer (DePaul University, Chicago, Illinois, USA)
Crossing Numbers of Graphs by Marcus Schaefer (DePaul University, Chicago, Illinois, USA) at Abbey's Bookshop,

Crossing Numbers of Graphs

Marcus Schaefer (DePaul University, Chicago, Illinois, USA)


Productivity Press

Combinatorics & graph theory;
Algorithms & data structures


350 pages

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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.

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

By:   Marcus Schaefer (DePaul University Chicago Illinois USA)
Imprint:   Productivity Press
Country of Publication:   United States
Dimensions:   Height: 235mm,  Width: 156mm, 
Weight:   703g
ISBN:   9781498750493
ISBN 10:   1498750494
Series:   Discrete Mathematics and Its Applications
Pages:   350
Publication Date:   December 2017
Audience:   College/higher education ,  Primary
Format:   Hardback
Publisher's Status:   Active

1. Introduction and History Part I: The Crossing Number 2. Crossing Number 3. Crossing Number and other Parameters 4. Computational Complexity 5. Algorithms Part II: Crossing Number Variants 6. Rectilinear Crossing Number 7. Local Crossing Number 8. Monotone and Book crossing numbers 9. Pair Crossing Number 10. k-planar Crossing Number 11. Independent Odd Crossing Number 12. Maximum Crossing Numbers Part III: Applications 13. Crossing Minimization 14. Geometric Configurations Appendix A Topological Graph Theory Basics B Complexity Theory

Marcus Schaefer received his undergraduate degree from the University of Karlsruhe, then his Ph.D. in Computer Science from the University of Chicago. After getting his doctorate, he has worked at the Computer Science Department of DePaul University in Chicago where he became an associate professor. His research interests include graph drawing, graph theory, computational complexity, and computability. He currently has 57 publications on MathSciNet. He also co-authored a book, Algorithms.

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