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
Pan-connectedness of graphs with large neighborhood unions
โ Scribed by Kewen Zhao
- Publisher
- Springer Vienna
- Year
- 2008
- Tongue
- English
- Weight
- 450 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0026-9255
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## Abstract Let __G__ be a graph of order __n__ and define __NC(G)__ = min{|__N__(__u__) โช __N__(__v__)| |__uv__ โ __E__(__G__)}. A cycle __C__ of __G__ is called a __dominating cycle__ or __D__โ__cycle__ if __V__(__G__) โ __V__(__C__) is an independent set. A __D__โ__path__ is defined analogously.
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