On hamiltonicity of 2-connected claw-free graphs
โ Scribed by Run-li Tian, Li-ming Xiong
- Book ID
- 113089978
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2012
- Tongue
- English
- Weight
- 214 KB
- Volume
- 27
- Category
- Article
- ISSN
- 1005-1031
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we give the following result: Let G be a 2-connected graph of order PZ> 13 and nd2az -3, where 02 = min{d(u) + d(u): uz'.$E(G)}. If the set of claw-centers of G is independent, then either G is hamiltonian or G belongs to three classes of exceptional graphs. The bound n <202 -3 is sha
Using Ryja c ek's closure, we prove that any 3-connected claw-free graph of order & and minimum degree $ &+38 10 is hamiltonian. This improves a theorem of Kuipers and Veldman who got the same result with the stronger hypotheses $ &+29 8 and & sufficiently large and nearly proves their conjecture sa
A graph is Hamilton-connected if any pair of vertices is joined by a hamiltonian path. In this note it is shown that 9-connected graphs which contain no induced claw K 1, 3 are Hamilton-connected, by reformulating and localizing a closure concept due to Ryja c ek, which turns claw-free graphs into l