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3-Equitable Prime Cordial Labeling of Graphs

by S. Murugesan, D. Jayaraman, J. Shiama
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International Journal of Applied Information Systems
Foundation of Computer Science (FCS), NY, USA
Volume 5 - Number 9
Year of Publication: 2013
Authors: S. Murugesan, D. Jayaraman, J. Shiama
10.5120/ijais13-450974

S. Murugesan, D. Jayaraman, J. Shiama . 3-Equitable Prime Cordial Labeling of Graphs. International Journal of Applied Information Systems. 5, 9 ( July 2013), 1-4. DOI=10.5120/ijais13-450974

@article{ 10.5120/ijais13-450974,
author = { S. Murugesan, D. Jayaraman, J. Shiama },
title = { 3-Equitable Prime Cordial Labeling of Graphs },
journal = { International Journal of Applied Information Systems },
issue_date = { July 2013 },
volume = { 5 },
number = { 9 },
month = { July },
year = { 2013 },
issn = { 2249-0868 },
pages = { 1-4 },
numpages = {9},
url = { https://www.ijais.org/archives/volume5/number9/506-0974/ },
doi = { 10.5120/ijais13-450974 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-07-05T17:58:57.183060+05:30
%A S. Murugesan
%A D. Jayaraman
%A J. Shiama
%T 3-Equitable Prime Cordial Labeling of Graphs
%J International Journal of Applied Information Systems
%@ 2249-0868
%V 5
%N 9
%P 1-4
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A 3-equitable prime cordial labeling of a graphGwith vertex set V is a bijection f from V to f1; 2; :::; jV jg such that if an edge uv is assigned the label 1 if gcd(f(u); f(v)) = 1 and gcd(f(u) + f(v); f(u). . f(v)) = 1, the label 2 if gcd(f(u); f(v)) = 1 and gcd(f(u) + f(v); f(u) . . f(v)) = 2 and 0 otherwise, then the number of edges labeled with i and the number of edges labeled with j differ by atmost 1 for 0 i; j 2. If a graph has a 3-equitable prime cordial labeling, then it is called a 3-equitable prime cordial graph. In this paper, we investigate the 3-equitable prime cordial labeling behaviour of paths, cycles, star graphs and complete graphs.

References
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Index Terms

Computer Science
Information Sciences

Keywords

3-equitable prime cordial labeling 3-equitable prime cordial graph

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