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Minimization of multiplicative graphs

Author:

Shalini, P. and Paul Dhayabaran, D.

Subject Area:

Physical Sciences and Engineering

Abstract:

In this paper, the new concept minimization of multiplicative labelings has been introduced and a formula for minimization of multiplicative labeling has been introduced. A function f is called a minimization of multiplicative labeling of a graph G with q edges, if f is a bijective function from the vertices of G to the set {1,2,3,…..p} such that when each edge UV is assigned the label f(UV)=f(u)*f(v)-min{f(u),f(v)},then the resulting edge labels are distinct numbers. Moreover, some families of graphs which are coming under minimization of multiplicative labeling are being investigated.

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