The Open-Locating-Dominating Number of Some Convex Polytopes

Abstract

In this paper we will investigate the problem of finding the open-locating-dominating number
for some classes of planar graphs - convex polytopes. We considered $D_n$, $T_n$, $B_n$, $C_n$, $E_n$ and $R_n$ classes of
convex polytopes known from the literature. The exact values of open-locating-dominating number for $D_n$
and $R_n$ polytopes is presented, along with the tight upper bounds for $T_n$, $B_n$, $C_n$, and $E_n$ polytopes.