Crossing Numbers of Graphs with Rotation Systems
✍ Scribed by Michael J. Pelsmajer; Marcus Schaefer; Daniel Štefankovič
- Book ID
- 106149059
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 850 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0178-4617
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract The __crossing number__, cr(__G__), of a graph __G__ is the least number of crossing points in any drawing of __G__ in the plane. According to the Crossing Lemma of M. Ajtai, V. Chvátal, M. Newborn, E. Szemerédi, Theory and Practice of Combinatorics, North‐Holland, Amsterdam, New York,
## Abstract Crossing numbers of Sierpiński graphs __S__(__n__,__k__) and their regularizations __S__^+^(__n__,__k__) and __S__^++^(__n__,__k__) are studied. Drawings of these graphs are presented and proved to be optimal for __S__^+^(__n__,__k__) and __S__^++^(__n__,__k__) for every __n__ ≥ 1 and _