On graphs with equal edge connectivity and minimum degree

Abstract

The note contains some conditions on a graph implying that the edge connectivity is equal to the minimum degree. One of these conditions is that if d1≥d2≥⋯≥dn is the degree sequence then ∑ll-1(d1+dn-1)>In-1 for 1 ≤ l≤ min { n 2-1, dn}. © 1979.

Publication Title

Discrete Mathematics

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