On connected factors inK1,3-free graphs
โ Scribed by Li Guojun; Giu Zhenhong
- Book ID
- 110618142
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1998
- Tongue
- English
- Weight
- 276 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0168-9673
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We consider the existence of several different kinds of factors in 4โconnected clawโfree graphs. This is motivated by the following two conjectures which are in fact equivalent by a recent result of the third author. Conjecture 1 (Thomassen): Every 4โconnected line graph is hamiltonian,
## Abstract A graph __G__ is locally __n__โconnected, __n__ โฅ 1, if the subgraph induced by the neighborhood of each vertex is __n__โconnected. We prove that every connected, locally 2โconnected graph containing no induced subgraph isomorphic to __K__~1,3~ is panconnected.