P. Dankelmann et L. Volkmann, DEGREE SEQUENCE CONDITIONS FOR MAXIMALLY EDGE-CONNECTED GRAPHS AND DIGRAPHS, Journal of graph theory, 26(1), 1997, pp. 27-34
In this paper we give simple degree sequence conditions for the equali
ty of edge-connectivity and minimum degree of a (di-)graph. One of the
conditions implies results by Bollobas, Goldsmith and White, and Xu.
Moreover, we give analogue conditions for bipartite (di-)graphs. (C) 1
997 John Wiley & Sons, Inc.