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	Volume 39, Issue 1 Pg 1 - 135 (April 2010)
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Far East Journal of Mathematical Sciences (FJMS)

with vertex set V and edge set E, we define a labeling as a function, where weight of edge xy is written as

Total labeling is the sum of xy-label and labels of the vertices that incident to x, thus

l labeling is called as edge irregular total k-labeling of the graph G if for every two different edges e and f of G,

The smallest k in which graph G can be labeled as edge irregular total k-labeling is called as edge total irregularity strength and is noted as

In this research, we are interested in finding

of the union of complete bipartite graphs

and

Far East Journal of Mathematical Sciences (FJMS)
Volume 39, Issue 1, Pages 129 - 135 (April 2010)

IRREGULAR TOTAL LABELING ON COMPLETE BIPARTITE GRAPH AND UNION OF COMPLETE BIPARTITE GRAPHS
Jamal I. Daoud, Wamiliana, Mustofa Usman and Asmiati

Abstract:
Given a graph

with vertex set V and edge set E, we define a labeling as a function, where weight of edge xy is written as

Total labeling is the sum of xy-label and labels of the vertices that incident to x, thus

l labeling is called as edge irregular total k-labeling of the graph G if for every two different edges e and f of G,

The smallest k in which graph G can be labeled as edge irregular total k-labeling is called as edge total irregularity strength and is noted as

In this research, we are interested in finding

of the union of complete bipartite graphs

and

Keywords and phrases: irregular total labeling, tes (G), bipartite graph.

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