**ABSTRACT**

A graph G = (π, πΈ) with p vertices and q edges is said to have skolem difference mean labeling

if it is possible to label the vertices x π π with distinct elements f (π₯) from {1,2,3, β¦ , π + π} in such a

way that the edge e = π’π£ is labeled with |π(π’)βπ(π£)|2if |π(π’) β π(π£)| is even and |π(π’)βπ(π£)|+12 if

|π(π’) β π(π£)| is odd and the resulting labels of the edges are distinct and are from {1,2,3, β¦ , π}. A

graph that admits skolem difference mean labeling is called a skolem difference mean graph. In this

paper, the author studied the edge reduced skolem difference mean number of some graphs.

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