Irregular total labelings of convex polytope graphs having the same diameter

Abstract

We investigate two modifications of the well-known irregularity strength of graphs, namely the total edge irregularity strength and the total vertex irregularity strength. Bača et al. (Discrete Math. 307:1378-1388, 2007) determined the bounds and precise values for some families of graphs concerning these parameters. In this paper, we determine the exact value of the total edge (vertex) irregularity strength for convex polytope graphs having same diameter.