It is proved that every connected simplicial graph with minimum valence at least three has maximum genus at least one-quarter of its cycle rank. This follows from the technical result that every 3-regular simplicial graph except K4 has a Xuong co-tree whose odd components have only one edge each. It
β¦ LIBER β¦
Tight Lower Bounds on the Size of a Maximum Matching in a Regular Graph
β Scribed by Michael A. Henning; Anders Yeo
- Publisher
- Springer Japan
- Year
- 2007
- Tongue
- English
- Weight
- 106 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0911-0119
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