5 problems

Let $S_n(k)$ be the regular palm with $n$ arms, each having length $k$, and let $\chi_L(S_n(k))$ denote its locating chromatic number. Asymptotic locating chromatic number conjectu…

Let $G$ and $H$ be connected graphs, let $\square$ denote the Cartesian product, and write $\chi_L$ for the locating chromatic number. Locating chromatic number bound for Cartesian…

Let $K_m$ be the complete graph, and let $C_n$ and $P_n$ denote the cycle and path on $n$ vertices, respectively. Write $\square$ for the Cartesian product and $\chi_L$ for the loc…

Let $K_m$ and $K_n$ be complete graphs, with $\lceil (n+3)/2\rceil<m\leq n$, and let $\square$ denote the Cartesian product. Write $\chi_L$ for the locating chromatic number. Locat…

Let $n\geq 3$ and define … Here $K_m$ denotes the complete graph, $\square$ the Cartesian product, and $\chi_L$ the locating chromatic number. Locating chromatic number conjecture…