Local connectivity
= Local connectivity
{title2=$\kappa(a,b;G)$}
For nonadjacent vertices $a,b$ of a graph $G$, their local connectivity $\kappa(a,b;G)$ is the minimum size of an $a$-$b$ <vertex separator>. By the <Menger theorem>, it also equals the maximum number of internally vertex-disjoint $a$-$b$ paths.