A Study of Anti-Magic Graphs on Corona Product of Complete Graphs and Complete Bipartite Graphs

Authors

DOI:

https://doi.org/10.26713/cma.v13i5.1871

Keywords:

Complete graph, Complete bipartite graph, Corona product, Anti-magic labeling

Abstract

Graph labeling has a wide range of applications such as coding theory, X-ray crystallography, network design, and circuit design. It can be done by assigning numbers to edges, vertices or to both. An anti-magic labeling of a graph G is a one-to-one correspondence between the edge set E(G) and the set {1,2,3,…,|E|} 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 H and T is the graph H⊙T which is obtained by taking one copy of H and |V(H)| copies of T and making the ith vertex of H adjacent to every vertex of the $i$th copy of T, 1≤i≤|V(H)|. In this study, we prove that the Corona product Kn⊙Km,m generates anti-magic graphs. We also develop a programme using Matlab to demonstrate this anti-magic property.

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References

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Published

30-12-2022
CITATION

How to Cite

Muya, J. G., & Shobhalatha, G. (2022). A Study of Anti-Magic Graphs on Corona Product of Complete Graphs and Complete Bipartite Graphs. Communications in Mathematics and Applications, 13(5), 1337–1345. https://doi.org/10.26713/cma.v13i5.1871

Issue

Vol. 13 No. 5 (2022)

Section

Research Article

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