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Volume 20 No 13 (2022)
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Even Vertex Analytic Mean Labeling On Some Special Graphs
Dr. S. Alice Pappa, J. Vinolia Jeyanthi
Abstract
A graph labeling is an assignment of integers to the vertices or edges, or both, subject to certain conditions. A graph G with p vertices and q edges is said to have an even vertex analytic mean labeling if there exists an injective function such that the induced map defined by
f^* (e=uv)={█(|[f(u)]^2-[f(v)]^2 |/2 if |[f(u)]^2-[f(v)]^2 | is even@(|[f(u)]^2-[f(v)]^2 |+1)/2 if |[f(u)]^2-[f(v)]^2 | is odd)┤ and the edge labels are distinct. A graph that admits an even vertex analytic mean labeling is called an even vertex Analytic Mean Graph.
Keywords
Graph Labeling, Even vertex Analytic Mean Graph, Even vertex Analytic Mean Labeling.
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