A conjecture of Robertson and Thomas on the orientable genus of graphs with a given nonorientable embedding is disproved.
Bounding the Size of Equimatchable Graphs of Fixed Genus
β Scribed by Ken-ichi Kawarabayashi; Michael D. Plummer
- Publisher
- Springer Japan
- Year
- 2009
- Tongue
- English
- Weight
- 140 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper shows that a simple graph which can be cellularly embedded on some closed surface in such a way that the size of each face does not exceed 7 is upper embeddable. This settles one of two conjectures posed by Nedela and S8 koviera (1990, in ``Topics in Combinatorics and Graph Theory,'' pp.
The average orientable genus of graphs has been the subject of a considerable number of recent investigations. It is the purpose of this article to examine the extent to which the average genus of the amalgamation of graphs fails to be additive over its constituent subgraphs. This discrepancy is bou