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Nurdin Nurdin
Combinatorial Mathematics Research Division, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology
Mathematics

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The Total Edge Irregular Strengths of Union Graphs of K2,n Nurdin Nurdin; Edy Tri Baskoro; Muhammad Salman Alfarisi Nawawi
Jurnal Matematika & Sains Vol 11, No 3 (2006)
Publisher : Institut Teknologi Bandung

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Abstract

For a simple graph G = (V, E) with the vertex setV and the edge setV, a labeling l :V ÈE ® {1,2,...,k} is called an edge irregular total k-labelling of G if for any two different edges  e = e e1 e e2 and  f = f1 f2 in E (G) we have wt (e) wt (f ) where (e) = l (e1) + l (e ) + l (e2 ). The total edge irregular strengths tes (G) of G is the smallest positive integer k for which G has an edge irregular total k-labelling. In this paper, a dual of an edge irregular total klabelling is introduced. Beside that, the total edge irregular strengths of a graph mK2,n -path and a graph mK2,n for any positive integer m ≥  1 and n ≥ 2 have been determined.
Co-Authors Edy Tri Baskoro Muhammad Salman Alfarisi Nawawi