## Abstract The numbers of unlabeled cubic graphs on __p = 2n__ points have been found by two different counting methods, the best of which has given values for __p โฆ__ 40.
Cubic graphs with crossing number two
โ Scribed by Bruce Richter
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 360 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract In this paper we deduce a necessary and sufficient condition for a line grah to have crossing number 1. In addition, we prove that the line graph of any nonplanar graph has crossing number greater than 2.
We show that every n-vertex cubic graph with girth at least g have domination number at most 0.299871n+O(n / g) < 3n / 10+O(n / g) This research was done when the Petr ล koda was a student of
## Abstract Necessary and sufficient conditions are given for a nonplanar graph to have a line graph with crossing number one. This corrects some errors in Kulli et al. 4. ยฉ 2001 John Wiley & Sons, Inc. J Graph Theory 37: 181โ188, 2001
## Abstract ล irรกล constructed infinite families of __k__โcrossingโcritical graphs for every __k__โฉพ3 and Kochol constructed such families of simple graphs for every __k__โฉพ2. Richter and Thomassen argued that, for any given __k__โฉพ1 and __r__โฉพ6, there are only finitely many simple __k__โcrossingโcriti