New Sufficient Conditions for Equality of Minimum Degree and Edge-Connectivity

PETER DANKELMANN1, LUTZ VOLKMANN1
1Leurstuut II rUR MaTHEMATIK, RWTH AACHEN, TEMPLERGRABEN 55, 5100 AACHEN, GERMANY

Abstract

New sufficient conditions for equality of edge-connectivity and minimum degree of graphs are presented, including those of Chartrand, Lesniak, Plesnik, Plesník, and Ždmán, and Volkmann.