Cyclic Cordial Labeling for the Lemniscate Graphs and Their Second Powers

A lemniscate graph, usually denoted by L n , m , is defined as a union of two cycles C n and C m that share a common vertex. A simple graph is called cyclic group cordial if we can provide a three elements’ cyclic group labeling satisfying certain conditions. The purpose of this paper is to study the cyclic cordiality of L n , m and their second powers . Our verification goes through by using the concept of finite cyclic groups.

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Publication Details

Journal
Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1155/jom/8448683
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
0.00

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article

Cyclic Cordial Labeling for the Lemniscate Graphs and Their Second Powers

Mohammed M. Ali Al-Shamiri, S.I. Nada, M. A. AbdAllah, M. A. Afify
Journal of Mathematics
Graph Labeling and Dimension Problems
article

Cyclic Cordial Labeling for the Lemniscate Graphs and Their Second Powers

Mohammed M. Ali Al-Shamiri, S.I. Nada, M. A. AbdAllah, M. A. Afify
article en

Abstract

A lemniscate graph, usually denoted by L n , m , is defined as a union of two cycles C n and C m that share a common vertex. A simple graph is called cyclic group cordial if we can provide a three elements’ cyclic group labeling satisfying certain conditions. The purpose of this paper is to study the cyclic cordiality of L n , m and their second powers . Our verification goes through by using the concept of finite cyclic groups.

Journal of MathematicsVol. 2025(1)
Menoufia University (EG), King Khalid University (SA)
King Khalid University
Openalex Percentile: Top 88%
Graph Labeling and Dimension Problems
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