Mathematics Homework Solutions
#8341
Graphs and Digraphs : Edge-Connectivity
If G is a graph of order n>=2 such that for all distinct nonadjacent vertices u and v,
d(u)+d(v)>=n-1,
then the edge-connectivity k1(G)=Deta(G), where Deta(G) is the least degree of G.
An edge-connectivity proof is provided.
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