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Crossing Numbers of Graphs - Marcus Schaefer

Crossing Numbers of Graphs

(Autor)

Buch | Softcover
376 Seiten
2023
CRC Press (Verlag)
978-1-032-47644-5 (ISBN)
CHF 76,75 inkl. MwSt
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 comput
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

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.

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

Erscheinungsdatum
Reihe/Serie Discrete Mathematics and Its Applications
Zusatzinfo 102 Illustrations, black and white
Verlagsort London
Sprache englisch
Maße 156 x 234 mm
Gewicht 526 g
Themenwelt Informatik Theorie / Studium Algorithmen
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 1-032-47644-3 / 1032476443
ISBN-13 978-1-032-47644-5 / 9781032476445
Zustand Neuware
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