Let G be a graph on n vertices and m edges. The book crossing number of G is defined as the minimum number of edge crossings when the vertices of G are placed on the spine of a k-page book and edges are drawn on pages, such that each edge is contained by one page. Our main results are t w o polynomi
The crossing number of the complement of a circuit
β Scribed by Richard K. Guy; Anthony Hill
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 922 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Upper and lower bounds for the crossing number of the graph formed by deletion of a hamilton circuit from the complete graph on n vertices are obtained, with exact values for n 5 10 and for the rectilinear crossing number for n 5 9.
π SIMILAR VOLUMES
We prove t h a t t h e crossing number of C4 X Ca is 8.
## Abstract The crossing number __cr__(__G__) of a simple graph __G__ with __n__ vertices and __m__ edges is the minimum number of edge crossings over all drawings of __G__ on the β^2^ plane. The conjecture made by ErdΕs in 1973 that __cr__(__G__)ββ₯β__Cm__^3^/__n__^2^ was proved in 1982 by Leighton