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 -