Characterization of the structure of $k$-edge-maximal graphs

Zheng-Jiang Xia, Hong-Jian Lai, Jian Lu +1

Let ${\kappa }^{\prime }(G)$ be the edge-connectivity of the graph $G$. The \textit{strength} of $G$, denoted by ${\overline{\kappa }}^{\prime }(G)$, is the maximum edge-connectivity of its subgraphs.…