# Tag Info

Here's an example that suggests that the stronger claim in the earlier version (Lemma 5.3) is false. I've only given a cursory look at the papers, so please check this carefully to make sure I am understanding correctly, thanks. Consider a cluster $X$ consisting of a rooted star: a root $r$ and $n-1$ nodes $v_1,v_2,\ldots, v_{n-1}$ such that $d(r, v_i) = 1$...