Indeks Konektivitas Eksentrik Edis Pada Graf Annihilator dari Ring Bilangan Bulat Modulo

This study discusses how the general formula of the Ediz eccentric connectivity index (IKEE) in the annihilator graph of the ring of integers modulo. This study aims to determine the Ediz eccentric connectivity index on the annihilator graph of the ring of modular integers , with is a primer number for , and is a positif integer. The initial step in conducting this research is to form an annihilator graph from the ring of integers of the modul , then find the vertex degree and the eccentricity of the vertex on the annihilator graph which is used to calculate the Ediz eccentric connectivity index of each graph. After that, formulate a conjecture about the Ediz eccentric connectivity index on the annihilator graph of the ring of integers of the modul , and the last one proves the hypothesis obtained. The results of this study is general formula for the Ediz eccentric conductivity index on the Annihilator graph of the ring of integers modulo where p is a prime number and m is a positive integer.

Authors

Publication Details

Journal
Jurnal Riset Mahasiswa Matematika
Published
2025-04-22
DOI
https://doi.org/10.18860/jrmm.v4i2.30059
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Indeks Konektivitas Eksentrik Edis Pada Graf Annihilator dari Ring Bilangan Bulat Modulo

Mohammad Nafie Jauhari, Erna Herawati, Risma Amelia
Jurnal Riset Mahasiswa Matematika
Graph theory and applications
article

Indeks Konektivitas Eksentrik Edis Pada Graf Annihilator dari Ring Bilangan Bulat Modulo

Mohammad Nafie Jauhari, Erna Herawati, Risma Amelia
article en

Abstract

This study discusses how the general formula of the Ediz eccentric connectivity index (IKEE) in the annihilator graph of the ring of integers modulo. This study aims to determine the Ediz eccentric connectivity index on the annihilator graph of the ring of modular integers , with is a primer number for , and is a positif integer. The initial step in conducting this research is to form an annihilator graph from the ring of integers of the modul , then find the vertex degree and the eccentricity of the vertex on the annihilator graph which is used to calculate the Ediz eccentric connectivity index of each graph. After that, formulate a conjecture about the Ediz eccentric connectivity index on the annihilator graph of the ring of integers of the modul , and the last one proves the hypothesis obtained. The results of this study is general formula for the Ediz eccentric conductivity index on the Annihilator graph of the ring of integers modulo where p is a prime number and m is a positive integer.

Jurnal Riset Mahasiswa MatematikaVol. 4(3)
Openalex Percentile: Top 87%
Graph theory and applications
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