Hamilton cycles in claw-heavy graphs
โ Scribed by Bing Chen; Shenggui Zhang; Shengning Qiao
- Book ID
- 108114026
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 509 KB
- Volume
- 309
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We show that if __G__ is a 4โconnected clawโfree graph in which every induced hourglass subgraph __S__ contains two nonโadjacent vertices with a common neighbor outside __S__, then __G__ is hamiltonian. This extends the fact that 4โconnected clawโfree, hourglassโfree graphs are hamilton
## UNIVERSIW OF WATERLOO ' The research reported here has been sponsored by the Canadian Commonwealth Association.
Matthews and Sumner have proved in [12] that if G is a 2-connected claw-free graph of order n such that 6>~(n-2)/3, then G is hamiltonian. Li has shown that the bound for the minimum degree 6 can be reduced to n/4 under the additional condition that G is not in /7, where /7 is a class of graphs defi