Neighborhood unions and hamiltonian properties in graphs
β Scribed by R.J Faudree; Ronald J Gould; Michael S Jacobson; R.H Schelp
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 617 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
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Bauer, D., G. Fan and H.J. Veldman, Hamiltonian properties of graphs with large neighborhood unions, Discrete Mathematics 96 (1991) 33-49. Let G be a graph of order n, a k =min{~ki=ld(vi): {V 1 ..... Vn} is an independent set of vertices in G}, NC=min{IN(u) 13N(v)l:uv~E(G)} and NC2=min{IN(u) t3 wh
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Let G be a graph of order n. In this paper, we prove that if G is a 2-connected graph of order n such that for all u, ve V(G), 2 where dist(u,v) is the distance between u and v in G, then either G is hamiltonian, or G is a spanning subgraph of a graph in one of three families of exceptional graphs.
## Abstract In this paper, __k__ + 1 real numbers __c__~1~, __c__~2~, β, __c__~__k__+1~ are found such that the following condition is sufficient for a __k__βconnected graph of order __n__ to be hamiltonian: for each independent vertex set of __k__ + 1 vertices in __G__. magnified image where S~i~