Additivity of the crossing number of graphs with connectivity 2
✍ Scribed by J. Širáň
- Publisher
- Springer Netherlands
- Year
- 1984
- Tongue
- English
- Weight
- 221 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0031-5303
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract For a vertex __v__ of a graph __G__, we denote by __d__(__v__) the __degree__ of __v__. The __local connectivity__ κ(__u, v__) of two vertices __u__ and __v__ in a graph __G__ is the maximum number of internally disjoint __u__ –__v__ paths in __G__, and the __connectivity__ of __G__ is
## Abstract Širáň constructed infinite families of __k__‐crossing‐critical graphs for every __k__⩾3 and Kochol constructed such families of simple graphs for every __k__⩾2. Richter and Thomassen argued that, for any given __k__⩾1 and __r__⩾6, there are only finitely many simple __k__‐crossing‐criti