It is known that for each d there exists a graph of diameter two and maximum degree d which has at least (d/2) (d + 2)/2 vertices. In contrast with this, we prove that for every surface S there is a constant d S such that each graph of diameter two and maximum degree d ≥ d S , which is embeddable in
Decreasing the diameter of bounded degree graphs
✍ Scribed by Noga Alon; András Gyárfás; Miklós Ruszinkó
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 118 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0364-9024
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