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Articles

Some general results on restricted k-mean graph

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Pages 901-911 | Received 01 Jul 2018, Published online: 04 Jul 2019
 

Abstract

A graph G = (p, q) is said to have a restricted k-mean labeling if there is an injective function f from the vertices of G to {k – 1, k, k + 1, … , k + q – 1} such that when each edge uv is labeled with then the resulting edge labels {k, k + 1, k + 2, … , k + q – 1} are all distinct where k is a positive integer greater than or equal to one. A graph that admits a restricted k-mean labeling is called a restricted k-mean graph.

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