PRIME LABELING OF SOME WEB GRAPHS WITHOUT CENTER

Jovanco Albertha Scada; Yeni Susanti

doi:10.14710/jfma.v0i0.19862

DOI: https://doi.org/10.14710/jfma.v0i0.19862

PRIME LABELING OF SOME WEB GRAPHS WITHOUT CENTER

Jovanco Albertha Scada - Dept. of Mathematics, Gadjah Mada University, Indonesia, Indonesia

*Yeni Susanti

- Department of Mathematics Universitas Gadjah Mada, Indonesia

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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Abstract

The prime labeling of a graph \(G\) of order \(n\) is a bijection function from the set of vertices in \(G\) to the set of the first \(n\) positive integers, such that any two adjacent points in \(G\) have labels that are coprime to each other. In this paper we discuss the primality of the graph \(W_0(2,n)\) along with its combinations with similar graphs and various types of edges subdivisions in the graph \(W_0(2,n)\). Moreover, it is also presented the necessary and sufficient conditions for the graph to be prime.

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Keywords: Prime Labeling, Web Graph without Center, Independence Number

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS

Language : EN

In Vol 7, No 1 (2024)

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