2 problems

For each $m$, let $S_m$ be a star with $m$ children rooted at its centre vertex, chosen to maximise the length of the longest edge in the tree produced by the $(\delta,k)$-PKRY alg…

Let $v$ be a root vertex with children $\{v_1, \dots, v_k\}$, where $k \geq 2$, the angles between children with respect to $v$ are at least $60^{\circ}$, and all children have rad…