Product Binary L-Cordial Labeling of Various Degree Splitting Graphs

Authors

DOI:

https://doi.org/10.26713/cma.v15i1.2541

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 labelling demonstrates that these analyzed graphs exhibit characteristics of product binary L-cordial graphs.

Downloads

References

M. Bapat, A note on L-cordial labeling of graphs, International Journal of Mathematics and It’s Applications 5(4-D) (2017), 457 – 460.

M. Bapat, New results on L-cordial labeling of graphs, International Journal of Statistics and Applied Mathematics 3(2) (2018), 641 – 644, URL: https://www.mathsjournal.com/archives/2018/vol3/issue2/PartH.

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: 10.14445/22315373/IJMTTV47P507.

C. Barasara and Y. Thakkar, Divisor cordial labeling for some snakes and degree splitting related graphs, South East Asian Journal of Mathematics and Mathematical Sciences 19(1) (2023), 211 – 224, DOI: 10.56827/SEAJMMS.2023.1901.17.

J. Clark and D. Holton, A First Look at Graph Theory, World Scientific Publishing Co. Pvt. Ltd., 348 pages (1991), DOI: 10.1142/1280.

J. Gallian, A dynamic survey of graph labeling, The Electronic Journal of Combinatorics 26 (2023), 1 – 644, DOI: 10.37236/27.

M. Kchikech, R. Khennoufa and O. Tongni, Radio k-labelings for cartesian products of graphs, Discussiones Mathematicae Graph Theory 28(1) (2008), 165 – 178, DOI: 10.7151/dmgt.1399.

G. Singh, A. Borah and S. Ray, A review paper on corona product of graphs, Advances and Applications in Mathematical Sciences 19(10) (2020), 1047 – 1054.

S. Steffi and J. Subhashini, Product binary L-cordial labeling, Advances and Applications in Mathematical Sciences 21(3) (2022), 1455 – 1462.

Downloads

Published

24-04-2024
CITATION

How to Cite

Prajapati, U. M., & Patel, P. A. . (2024). Product Binary L-Cordial Labeling of Various Degree Splitting Graphs. Communications in Mathematics and Applications, 15(1), 417–429. https://doi.org/10.26713/cma.v15i1.2541

Issue

Vol. 15 No. 1 (2024)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.