On Equality of Restricted Edge Connectivity and Minimum Edge Degree of Graphs

Yingying Qin1, Jianping Ou1, Zhiping Xiong1
1Department of Mathematics, Wuyi University, Jiangmen 529020, China

Abstract

Restricted edge connectivity is a more refined network reliability index than edge connectivity. It is known that communication networks with larger restricted edge connectivity are more locally reliable.
This work presents a distance condition for graphs to be maximally restricted edge connected, which generalizes Plesník’s corresponding result.