The asymptotic connectivity of labelled regular graphs
β Scribed by Nicholas C. Wormald
- Book ID
- 108395451
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 492 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Zhang, C.-Q. and Y.-J. Zhu, Long path connectivity of regular graphs, Discrete Mathematics 96 (1991) 151-160. Any pair of vertices in a 4-connected path or a path of length at least 3k-6. non-bipartite k-regular graph are joined bY a Hamilton \* This research was partially supported by AFOSR under g
Let G be a k-regular 2-connected graph of order n. Jackson proved that G is hamiltonian if n 5 3k. Zhu and Li showed that the upper bound 3k on n can be relaxed to q k if G is 3-connected and k 2 63. We improve both results by showing that G is hamiltonian if n 5 gk -7 and G does not belong to a res