The square of every two-connected graph is Hamiltonian
β Scribed by Herbert Fleischner
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 318 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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
## 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
We prove the conjecture of Gould and Jacobson that a connected S(K1,J free graph has a vertex pancyclic square. Since .S(K1,J is not vertex pancyclic, this result is best possible. ## Our notation generally follows that used in [l] . A graph G is Hamilroniun if it contains a cycle through all its