Total Edge Irregularity Strength of the Disjoint Union of Helm Graphs

Muhammad Kamran Siddiqui (Abdus Salam School of Mathematical Sciences, GC University)
N. Nurdin (Mathematics Department, Faculty of Mathematics, and Natural Sciences, Hasanuddin University)
Edy Tri Baskoro (Combinatorial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung)

Journal of Mathematical and Fundamental Sciences
Vol. 45 No. 2 (2013)

The total edge irregular k-labeling of a graph G=(V,E) is the labeling of vertices and edges of G in such a way that for any different edges their weights are distinct. The total edge irregularity strength, tes (G), is defined as the minimum k for which G has a total edge irregular k-labeling. In this paper, we consider the total edge irregularity strength of the disjoint union of m special types of helm graphs.