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- W2108131424 abstract "Let G be a connected graph of order n, minimum degree δ(G) and edge connectivity λ(G). The graph G is called maximally edge-connected if λ(G)=δ(G), and super edge-connected if every minimum edge-cut consists of edges incident with a vertex of minimum degree. Define the inverse degree of G with no isolated vertices as R(G)=∑ v∈V(G)1/d(v), where d(v) denotes the degree of the vertex v. We show that if R(G)<2+(n−2δ)/(n−δ) (n−δ−1), then G is super edge-connected. We also give an analogous result for triangle-free graphs." @default.
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- W2108131424 date "2012-04-01" @default.
- W2108131424 modified "2023-10-14" @default.
- W2108131424 title "Inverse degree and super edge-connectivity" @default.
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- W2108131424 doi "https://doi.org/10.1080/00207160.2012.663491" @default.
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