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Far East Journal of Mathematical Education

with the property that the sum of the label on an edge and the labels of its endpoints is constant independent of the choice of edge. The magic strength of G, denoted by

is defined as the minimum of all

where the minimum is taken over all edge-magic total labelings of G. The maximum magic strength of G, denoted by

is defined as the maximum of all

where the maximum is taken over all edge-magic total labelings of G. A graph G is called weak magic if

In this paper, we study some classes of weak magic graphs.

Far East Journal of Mathematical Education
Volume 4, Issue 1, Pages 15 - 23 (February 2010)

FURTHER RESULTS ON WEAK MAGIC GRAPHS
G. Santhosh

Abstract:
An edge-magic total labeling on a graph with p vertices and q edges is defined as a one-to-one map taking the vertices and edges onto the integers