A Family of Join Spider Graphs on Sum Divisor Cordial Labeling with Application

A graph G with p vertices and q edges is said to be a Sum Divisor Cordial labelling. If ????: ???? → 1,2, … ???? such that for each edge ???????????????? assign the label 1, if 2|(???? ???? + ????(????)| and 0 otherwise, satisfying the condition |e????(1)- e???? 0 | ≤ 1, where e????(1) is the number of edges labelled with 1 and e????(0) is the number of edges labelled with 0. A graph with a sum divisor cordial labeling graph. In this paper we study and we prove that for a class of Join Spider graphs with atmost one additional leg namely JSP(1m,2n), JSP(1m,2n,32), JSP(1m,2n,42), JSP(1m,2n,52). In this paper we identify an application using Affline Cipher for Cyber Security through encryption and decryption.

Authors

Publication Details

Journal
Advances in Nonlinear Variational Inequalities
Published
2024-08-23
DOI
https://doi.org/10.52783/anvi.v27.548
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

A Family of Join Spider Graphs on Sum Divisor Cordial Labeling with Application

T. Christy
Advances in Nonlinear Variational Inequalities
Graph Labeling and Dimension Problems
article

A Family of Join Spider Graphs on Sum Divisor Cordial Labeling with Application

T. Christy
article en

Abstract

A graph G with p vertices and q edges is said to be a Sum Divisor Cordial labelling. If ????: ???? → 1,2, … ???? such that for each edge ???????????????? assign the label 1, if 2|(???? ???? + ????(????)| and 0 otherwise, satisfying the condition |e????(1)- e???? 0 | ≤ 1, where e????(1) is the number of edges labelled with 1 and e????(0) is the number of edges labelled with 0. A graph with a sum divisor cordial labeling graph. In this paper we study and we prove that for a class of Join Spider graphs with atmost one additional leg namely JSP(1m,2n), JSP(1m,2n,32), JSP(1m,2n,42), JSP(1m,2n,52). In this paper we identify an application using Affline Cipher for Cyber Security through encryption and decryption.

Advances in Nonlinear Variational InequalitiesVol. 27(2)
Openalex Percentile: Top 75%
Graph Labeling and Dimension Problems
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