Sub-quorum colorings of some infinite families of caterpillars

Rafik Sahbi, Youcef Belkina, Amar Bennadji

A partition $\pi =\{V_1,V_2,...,V_k\}$ of the vertex set $V$ of a graph $G$ into $k$ color classes $V_i,$ with $i\in \{1,...,k\}$ is called a {\it quorum coloring} if for every…