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On Group Connectivity of Graphs

✍ Scribed by Hong-Jian Lai; Rui Xu; Ju Zhou


Publisher
Springer Japan
Year
2008
Tongue
English
Weight
133 KB
Volume
24
Category
Article
ISSN
0911-0119

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πŸ“œ SIMILAR VOLUMES


Group connectivity of complementary grap
✍ Xinmin Hou; Hong-Jian Lai; Ping Li; Cun-Quan Zhang πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 113 KB

## Abstract Let __G__ be a 2‐edge‐connected undirected graph, __A__ be an (additive) abelian group and __A__\* = __A__βˆ’{0}. A graph __G__ is __A__‐connected if __G__ has an orientation __D__(__G__) such that for every function __b__: __V__(__G__)↦__A__ satisfying , there is a function __f__: __E__(

On local connectivity of graphs
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The local connectivity ΞΊ(u, v) of two vertices u and v in a graph G is the maximum number of internally disjoint u-v paths in G, and the connectivity of G is defined as } for all pairs u and v of vertices in G. Let Ξ΄(G) be the minimum degree of G. We call a graph G maximally connected when ΞΊ(G) = Ξ΄