A Note on Nilpotent Graph of Ring Integer Modulo with Order Prime Power

Authors

  • Deny Putra Malik Universitas Mataram
  • I Gede Adhitya Wisnu Wardhana Universitas Mataram
  • Putu Kartika Dewi Universitas Pendidikan Ganesha
  • Ratna Sari Widiastuti Universitas Udayana
  • Fariz Maulana Institut Teknologi Bandung
  • Abdul Gazir Syarifudin Institut Teknologi Bandung
  • Zata Yumni Awanis Universitas Mataram

DOI:

https://doi.org/10.26594/jmpm.v8i1.2920

Keywords:

Integer Modulo, Ring, Graph, Nilpotent

Abstract

Nilpotent graph of ring integer modulo is one of the graph representations in algebraic structures. This study aims to find out the shape and properties of a nilpotent graph of ring prime numbers modulo which is then generalized to a ring of integers modulo with arbitrary prime power. The method used in this research is a literature study. In the ring of integer modulo, we get the shape of a nilpotent graph as a star graph. Then, the characteristic of a nilpotent graph on a ring integer modulo with arbitrary prime power is that it contains a complete subgraph and contains a number of as a star subgraph.

Author Biographies

Deny Putra Malik, Universitas Mataram

Program Studi Matematika

I Gede Adhitya Wisnu Wardhana, Universitas Mataram

Program Studi Matematika

Putu Kartika Dewi, Universitas Pendidikan Ganesha

Program Studi Matematika

Ratna Sari Widiastuti, Universitas Udayana

Program Studi Matematika

Fariz Maulana, Institut Teknologi Bandung

Program Studi Matematika

Abdul Gazir Syarifudin, Institut Teknologi Bandung

Program Studi Matematika

Zata Yumni Awanis, Universitas Mataram

Program Studi Matematika

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Published

2023-09-16

Issue

Vol. 8 No. 1 (2023): Maret - Agustus 2023

Section

Artikel

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