Irregular Total Labellings of Generalized Petersen Graphs

The total edge irregularity strength tes(G) and total vertex irregularity strength tvs(G) are invariants analogous to irregular strength s(G) of a graph G for total labellings. 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 show the exact values of the total edge irregularity strength and total vertex irregularity strength of generalized Petersen graphs P(n,k).