TY - BOOK
AU - Schaefer, Marcus
TI - Crossing numbers of graphs
SN - 9781498750493
U1 - 511.5
PY - 2018///
CY - Boca Raton
PB - CRC Press
KW - Topological graph theory
KW - Plane geometry
KW - Graph theory
KW - Algorithms - Complexity
KW - Discrete mathematics
KW - Combinatorics
N1 - 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
N2 - 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
ER -