Crossing Number and Weighted Crossing Number of
β Scribed by Sergio Cabello; Bojan Mohar
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 764 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0178-4617
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Given a "short" piece of rope, one can tie only "simple" knots. We make this precise by modeling "rope" as a solid tube of constant radius about a smooth core. The complexity of a knot is captured by its average crossing number which in turn bounds the minimum crossing number for the knot type. Then
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.
We prove t h a t t h e crossing number of C4 X Ca is 8.
which has been proved only for m β€ 6.