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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 4 | Year 2025 | Article Id. IJMTT-V71I4P102 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I4P102

SDC Labeling on Path Union and Cycle of Zero Divisor Graphs


M. Lakshmi, D. Bharathi
Received Revised Accepted Published
25 Feb 2025 28 Mar 2025 14 Apr 2025 29 May 2025
Abstract

A sum divisor cordial labeling of a graph G with vertex set V(G) is a bijection f from V(G) to {1, 2, 3,…, |V(G)|} such that an edge u v is assigned the label 0 if 2 divides f(u)+f(v) and 1 otherwise; and it Satisfies the condition |e f (0) – e f (1) | ≤ 1, then a graph with a sum divisor cordial labeling is called a sum divisor cordial graph. In this paper, we apply the sum divisor cordial labeling of path union and a cycle of zero divisor graphs. We proved that the path union and cycle of zero divisor graphs are sum divisor cordial.

Keywords

Cordial graphs, Cycle of graphs, path union, Sum divisor cordial labeling, Sum divisor cordial graphs, Zero divisor graphs. 

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Citation :

M. Lakshmi, D. Bharathi, "SDC Labeling on Path Union and Cycle of Zero Divisor Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 4, pp. 8-20, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I4P102

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