## Abstract M. Matthews and D. Sumner have proved that of __G__ is a 2‐connected claw‐free graph of order __n__ such that δ ≧ (__n__ − 2)/3, then __G__ is hamiltonian. We prove that the bound for the minimum degree δ can be reduced to __n__/4 under the additional condition that __G__ is not in __F_
Supereulerian graphs with small matching number and 2-connected hamiltonian claw-free graphs
✍ Scribed by Xu, Jinquan; Li, Ping; Miao, Zhengke; Wang, Keke; Lai, Hong-Jian
- Book ID
- 127198767
- Publisher
- Taylor and Francis Group
- Year
- 2014
- Tongue
- English
- Weight
- 244 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0020-7160
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