On the partition dimension of trees

Juan A. Rodriguez-Velazquez, Ismael G. Yero, Magdalena Lemanska

Given an ordered partition $\Pi =\{P_1,P_2,...,P_t\}$ of the vertex set $V$ of a connected graph $G=(V,E)$, the \emph{partition representation} of a vertex $v\in V$ with respect to t…