Product Binary L-Cordial Labeling of Various Degree Splitting Graphs

Authors

Keywords:

Product binary L-cordial labeling, Product binary L-cordial graph, Degree Splitting Graph

Abstract

This study examines the probability of the degree splitting operation results from various graphs being product binary L-cordial Graphs. The graphs under investigation include the Path graph (Pn), Comb graph (Pn ⊙ k1), Double comb graph (Pn ⊙ 2k1), Cycle graph (Cn), Shell graph (Sn) and Ladder graph (Ln). The application of product binary L-cordial labeling demonstrates that these analyzed graphs exhibit characteristics of product binary L-cordial graphs.

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Author Biography

U.M. Prajapati

Associate professor, Department of Mathematics, St. Xavier’s College, Gujarat University, Ahmedabad 380009, India

References

J. Gallian, A Dynamic Survey of Graph Labeling, The Electronic Journal of Combinatorics 26 (2023), 1 – 644, doi:https://doi.org/10.37236/27.

J. Clark and D. Holton, A first look at Graph Theory, World Scientific Publishing Co. Pvt. Ltd 175 ( 1969).

M. Bapat, Some vertex prime graphs and a new type of graph labeling, International Journal of Mathematics. Trends and Technology 47(1) (2017), 49 – 55, doi:https://doi.org/10.14445/22315373/IJMTT-V47P507.

M. Bapat, New results on l-cordial labeling of graphs, International Journal Of Statistics and Applied Mathematics 3(2) (2018), 641 – 644.

M. Bapat, A Note on L-cordial Labeling of Graphs, International Journal Of Mathematics And It’s Applications 5(4-D) (2017), 457 – 460.

S. Steffi and J. Subhashini, Product Binary L-Cordial Labeling, Advances and Applications in Mathematical Sciences 21(3) (2022), 1455 – 1462.

Published

24-04-2024

How to Cite

Patel Prerakkumar Amrutlal, & U.M. Prajapati. (2024). Product Binary L-Cordial Labeling of Various Degree Splitting Graphs. Communications in Mathematics and Applications, 15(1). Retrieved from http://www.rgnpublications.com/journals/index.php/cma/article/view/2541

Issue

Section

Research Article