A new sufficient condition for Hamiltonian graphs
β Scribed by Ronald J. Gould; Kewen Zhao
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 180 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0004-2080
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π SIMILAR VOLUMES
## Abstract Let __G__ be a 2βconnected graph of order __n.__ We show that if for each pair of nonadjacent vertices __x__,__y__ β __V(G)__, then __G__ is Hamiltonian.
## Ainouche, A., Four sufficient conditions for hamiltonian graphs, Discrete Mathematics 89 (1991) 195-200.
## Abstract Let __G__ be a __k__βconnected graph of order __n__. For an independent set c, let __d(S)__ be the number of vertices adjacent to at least one vertex of __S__ and > let i(S) be the number of vertices adjacent to at least |S| vertices of __S__. We prove that if there exists some s, 1 β€ s