We prove that the crossing number of C5 x C, is 372, which is consistent with the general conjecture that the crossing number of C,, x C, is ( m -2)n, for 3 5 m 5 n.
Odd Crossing Number and Crossing Number Are Not the Same
✍ Scribed by Michael J. Pelsmajer; Marcus Schaefer; Daniel Štefankovič
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 331 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0179-5376
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
which has been proved only for m ≤ 6.
We prove t h a t t h e crossing number of C4 X Ca is 8.
## Abstract The crossing number of __K~n~__ is known for __n__ ⩽ 10. We develop several simple counting properties that we shall exploit in showing by computer that __cr__(__K__~11~ = 100, which implies that __cr__(__K__~12~) = 150. We also determine the numbers of non‐isomorphic optimal drawings o
## 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 ℝ^2^ plane. The conjecture made by Erdős in 1973 that __cr__(__G__) ≥ __Cm__^3^/__n__^2^ was proved in 1982 by Leighton