Every 3-connected, essentially 11-connected line graph is Hamiltonian
β Scribed by Hong-Jian Lai; Yehong Shao; Hehui Wu; Ju Zhou
- Book ID
- 108167401
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 89 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
## Abstract In this article, we first show that every 3βedgeβconnected graph with circumference at most 8 is supereulerian, which is then applied to show that a 3βconnected clawβfree graph without __Z__~8~ as an induced subgraph is Hamiltonian, where __Z__~8~ denotes the graph derived from identify
A graph G is locally connected if the subgraph induced by the neighbourhood of each vertex is connected. We prove that a locally connected graph G of orderp 2 4, containing no induced subgraph isomorphic to K1,31 is Hamilton-connected if and only if G is 3connected.
## Abstract A graph is locally connected if every neighborthood induces a connected subgraph. We show here that every connected, locally connected graph on __p__ β₯ 3 vertices and having no induced __K__~1,3~ is Hamiltonian. Several sufficient conditions for a line graph to be Hamiltonian are obtain