Prime Labeling of Bull Graph

Let G be a graph. A bijection f:V→ {1,2,…..|V|} is called a prime labeling [3] if for each edge e=uv in E, we have GCD{ f(u),f(v)}=1. A graph that admits a prime labeling is said to be a prime graph. In this paper we show that bull graph admits Prime labeling in the context of variety graph operations namely duplication of vertex, fusion of vertices and Switching in Bull graph.

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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2024-11-28
DOI
https://doi.org/10.52783/cana.v32.2520
Primary Topic
Graph Labeling and Dimension Problems
Type
article
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article

Prime Labeling of Bull Graph

M. Ganeshan
Communications on Applied Nonlinear Analysis
Graph Labeling and Dimension Problems
article

Prime Labeling of Bull Graph

M. Ganeshan
article en

Abstract

Let G be a graph. A bijection f:V→ {1,2,…..|V|} is called a prime labeling [3] if for each edge e=uv in E, we have GCD{ f(u),f(v)}=1. A graph that admits a prime labeling is said to be a prime graph. In this paper we show that bull graph admits Prime labeling in the context of variety graph operations namely duplication of vertex, fusion of vertices and Switching in Bull graph.

Communications on Applied Nonlinear AnalysisVol. 32(2s)
University of Madras (IN)
Openalex Percentile: Top 69%
Graph Labeling and Dimension Problems
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Prime Labeling of Bull Graph — M. Ganeshan · Communications on Applied Nonlinear Analysis (2024) | TGRS Research Map | TGRS