New sufficient condition for Hamiltonian graphs
β Scribed by Kewen Zhao; Hong-Jian Lai; Yehong Shao
- Book ID
- 108052234
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 183 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
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