Crossing numbers of graphs
Schaefer, Marcus
creator
text
Boca Raton
CRC Press
2018
monographic
| 0
xxvi, 350p. With index
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.
https://www.crcpress.com/Crossing-Numbers-of-Graphs/Schaefer/p/book/9781498750493
Table of Contents
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
Topological graph theory
Plane geometry
Graph theory
Algorithms - Complexity
Discrete mathematics
Combinatorics
511.5 S2C7
Discrete mathematics and its applications
9781498750493
190509