A Note on Mean Sum Square Prime Labeling
Journal Title: International Journal of Engineering and Science Invention - Year 2018, Vol 7, Issue 1
Abstract
Mean sum square prime labeling of a graph is the labeling of the vertices with {0,1,2---,p-1} and the edges with mean of the square of the sum of the labels of the incident vertices or mean of the square of the sum of the labels of the incident vertices and one, depending on the sum is even or odd. The greatest common incidence number of a vertex (gcin) of degree greater than one is defined as the greatest common divisor of the labels of the incident edges. If the gcin of each vertex of degree greater than one is one, then the graph admits mean sum square prime labeling. Here we identify ladder graph, triangular belt, jelly fish graph and tensor product of star and path of length 2 for mean sum square prime labeling.
Authors and Affiliations
Sunoj B S, Mathew Varkey T K
Keywords
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