Hamiltonicity of tree-like graphs
✍ Scribed by Dragan Marušič
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 426 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
We investigate hamiltonian properties of a class of graphs whose "factor graphs" are trees. Some results for regular and vertex-transitive graphs are also proved.
📜 SIMILAR VOLUMES
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
Let G be a graph of order n. In this paper, we prove that if G is a 2-connected graph of order n such that for all u, ve V(G), 2 where dist(u,v) is the distance between u and v in G, then either G is hamiltonian, or G is a spanning subgraph of a graph in one of three families of exceptional graphs.