# Some Results on Relatively Prime Edge Labeled Graph

## Authors

• R. Janani Department of Mathematics, SSM Institute of Engineering and Technology, Dindigul, India
• T. Ramachandran Department of Mathematics, MVM Government Arts College (W), Dindigul, India

## Keywords:

Prime graph, Coprime graph, Relatively prime edge labeled graph, Relatively prime index

## Abstract

Prime labeling and relatively prime edge labeling have the same idea for labeling the general graph $$G$$. Prime labeling labels the vertices of the general graph in such a way that adjacent vertices receive relatively prime labels. Similarly, relatively prime edge labeling, labels the edges in a way that the adjacent edges have relatively prime labels. Also, there are graphs that do not have relatively prime edge labeling. Hence the concept of relatively prime index is introduced, which finds the minimum number of edges to be removed from $$G$$ to make it a relatively prime edge labeled graph. The main purpose of the current study is to discuss some results on the topic of relatively prime edge labeled graphs and relatively prime index.

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16-04-2024
CITATION

## How to Cite

Janani, R., & Ramachandran, T. (2024). Some Results on Relatively Prime Edge Labeled Graph. Communications in Mathematics and Applications, 14(5), 1565–1573. https://doi.org/10.26713/cma.v14i5.2154

Research Article