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World Journal of Engineering Research and Technology

( An ISO 9001:2015 Certified International Journal )

An International Peer Reviewed Journal for Engineering Research and Technology

An Official Publication of Society for Advance Healthcare Research (Reg. No. : 01/01/01/31674/16)

ISSN 2454-695X

Impact Factor : 7.029

ICV : 79.45

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Abstract

CORONA PRODUCT OF COMPLETE GRAPHS

James Githinji Muya* and G. Shobhalatha

ABSTRACT

Graph labeling has a wide range of applications such as coding theory, X-ray crystallography, network design, circuit design. It can be done by assigning numbers to edges, vertices or both. An anti-magic labeling of a graph is a one-to-one correspondence between the edge set and the set such that the vertex sums are pairwise distinct. The vertex sum is the sum of labels assigned to edges incident to a vertex. Corona product of the graphs and is the graph which is obtained by taking one copy of and copies of and making the vertex of adjacent to every vertex of the copy of In this study, we prove that the Corona product generates anti-magic graphs. We also develop a programme using MATLAB to demonstrate this anti-magic property.

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