An independent set S of a graph G is said to be essential if S has a pair of vertices distance t w o apart in G. We prove that if every essential independent set S of order k 2 2 in a k-connected graph of order p satisfies max{deg u : u E S} I p, then G is hamiltonian. This generalizes the result of
Maximal Sets of 2-Factors and Hamiltonian Cycles
β Scribed by D.G. Hoffman; C.A. Rodger; A. Rosa
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 279 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0095-8956
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