Crossing Numbers of Graphs

Informationen zum Autor 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. Zusammenfassung 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. Inhaltsverzeichnis 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

Product details

• Authors: Marcus Schaefer, Marcus (Depaul University Schaefer, Schaefer Marcus
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 05.12.2017
• EAN: 9781498750493
• ISBN: 978-1-4987-5049-3
• No. of pages: 350
• Series: Discrete Mathematics and Its Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / General, COMPUTERS / Operating Systems / General, MATHEMATICS / Combinatorics, computer science, MATHEMATICS / Arithmetic, algorithms and data structures, Discrete Mathematics, Operating systems, Algorithms & data structures, Combinatorics & graph theory, Mathematical foundations, Combinatorics and graph theory