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The Block Connectivity of Random Trees

The Block Connectivity of Random Trees

Let $r$, $m$, and $n$ be positive integers such that $rm=n$. For each $i \in \{1, \ldots, m\}$ let $B_i = \{r(i-1)+1, \ldots, ri\}$. The $r$-block connectivity of a tree on $n$ labelled vertices is the vertex connectivity of the graph obtained by collapsing the vertices in $B_i$, for each …