On n-Hamiltonian line graphs
โ Scribed by Linda Lesniak-Foster
- Book ID
- 103502637
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 853 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Sufficient conditions on the degrees of a graph are given in order that its line graph have a hamiltonian cycle.
A well-known conjecture of Thomassen says that every 4-connected line graph is hamiltonian. In this paper we prove that every 7-connected line graph is hamiltonian-connected. For line graph, C. Thomassen [l] made the following conjecture. Conjecture. Every 4-connected line graph is hamiltonian.
## An extension of CI theorem of Chamhnd and Wall is obtained and, with it, a bound on the lamiltoniau index h(G) of a connected graph G (other than a path) is determined. As a tonsequence, it is Fhown that if G is homogeneously traceable, then h(Gj ~2.