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Mean Labeling of Some Graphs

Journal: International Journal of Science and Research (IJSR) (Vol.4, No. 10)

Publication Date:

Authors : ;

Page : 1921-1923

Keywords : Mean labeling; comb; splitting graph; shadow graph; bistar;

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Abstract

A graph G with p vertices and q edges is a mean graph if there is an injective function f from the vertices of G to {0, 1, 2,. q} such that when each edge uv is labeled with (f (u) +f (v)) /2 if f (u) +f (v) is evenand (f (u) +f (v) +1) /2if f (u) +f (v) is odd then the resulting edges are distinct. In this paper we investigate mean labeling of shadow graph of bistar and comb and splitting graph of comb.

Last modified: 2021-07-01 14:25:16