proved that if G is a 2-connected graph with n vertices such that d(u)+d(v)+d(w) n+} holds for any triple of independent vertices u, v, and w, then G is hamiltonian, where } is the vertex connectivity of G. In this note, we will give a short proof of the above result.
A Degree Sum Condition Concerning the Connectivity and the Independence Number of a Graph
β Scribed by Kenta Ozeki; Tomoki Yamashita
- Publisher
- Springer Japan
- Year
- 2008
- Tongue
- English
- Weight
- 200 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0911-0119
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