Irregular total labeling of disjoint union of prisms and cycles.
Ali Hasan Ahmad, Martin Bača, Muhammad Kamran Siddiqui · Australas. J Comb. · 2014
We investigate two modifications of the well-known irregularity strength of graphs, namely, a total edge irregularity strength and a total vertex irregularity strength. Recently the bounds and precise values for some families of graphs concerning these parameters have been determined. In this paper, we determine the exact value of the total edge (vertex) irregularity strength for the disjoint union of prisms and the total edge (vertex) irregularity strength for the disjoint union of cycles. ∗ Corresponding author. Second address: Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan. A. AHMAD ET AL. /AUSTRALAS. J. COMBIN. 59 (1) (2014), 98–106 99