Sharp spectral bounds for the edge-connectivity of a regular graph

Suil O, Jongyook Park, Jeong Rye Park +1

Let ${\lambda }_2(G)$ and ${\kappa }^{\prime }(G)$ be the second largest eigenvalue and the edge-connectivity of a graph $G$, respectively. Let $d$ be a positive integer at least 3. For $t=1$ or 2, Cioaba p…