We consider the maximum number of vertices in a cubic graph with small diameter. We show that a cubic graph of diameter 4 has at most 40 vertices. (The Moore bound is 46 and graphs with 38 vertices are known.) We also consider bipartite cubic graphs of diameter 5, for which the Moore bound is 62. We
Diameters of cubic graphs
✍ Scribed by Leif K. Jørgensen
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 440 KB
- Volume
- 37-38
- Category
- Article
- ISSN
- 0166-218X
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