DOI: https://doi.org/10.14710/jfma.v3i2.8713

SOME RESULT OF NON-COPRIME GRAPH OF INTEGERS MODULO n GROUP FOR n A PRIME POWER

Masriani Masriani  -  Universitas Mataram, Indonesia
Rina Juliana  -  Universitas Mataram, Indonesia
Abdul Gazir Syarifudin  -  Universitas Mataram, Indonesia
*I Gede Adhitya Wisnu Wardhana  -  Universitas Mataram, Indonesia
Irwansyah Irwansyah  -  Universitas Mataram, Indonesia
Ni Wayan Switrayni  -  Universitas Mataram, Indonesia

Citation Format:
Abstract

One interesting topic in algebra and graph theory is a graph representation of a group, especially the representation of a group using a non-coprime graph.  In this paper, we describe the non-coprime graph of integers modulo  group and its subgroups, for  is a prime power or  is a product of two distinct primes.

Fulltext View|Download
Keywords: group, integer module, non-coprime

Article Metrics:

Article Info
Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
Recent articles
MODELING PREDICTIVE TRACKING CONTROL FOR MAX-PLUS LINEAR SYSTEMS IN MANUFACTURING ANALISIS REGRESI LOGISTIK ORDINAL MENGENAI FAKTOR-FAKTOR YANG MEMPENGARUHI TINGKAT PENDIKAN ANAK DI DESA SAYANG-SAYANG IMPLEMENTASI METODE BAYES PADA PENGHITUNGAN PREMI ASURANSI KENDARAAN BERMOTOR More recent articles
  1. F. Mansoori, A. Erfanian, and B. Tolue, “Non-coprime graph of a finite group”, AIP Conference Proceedings 1750, 050017, 2016
  2. G. Aghababaei-Beni and A. Jafarzadeh, “The non-coprime graph of finite groups”, Math. Interdisc. Res.3, pp. 109-119, 2018
  3. G. Aghababaei, A.R. Ashrafi, and A. Jafarzadeh, “The non-coprime graph of a finite group with respect to a subgroup”, Italian Journal of Pure and Applied Mathematics42, pp. 25-35, 2019
  4. N. M. Rilwan, M. M. Sameema and A. R. Oli, “Non-Coprime Graph of Integers”, International Journal of Mathematics Trends and Technology (IJMTT), Vol. 66 No. 2, 2020
  5. R.L. Roth, “A history of Lagrange’s Theorem on groups”, Mathematics Magazine Vol. 74 No. 2, pp. 99-108, 2001
  6. R. Diestel, “Graph Theory”, New York: Springer-Verlag, 2000
  7. R. Juliana, M. Masriani, I. G. A. W. Wardhana, N. W. Switrayni, I.,Irwansyah, “Coprime Graph of Integers Modulo n Group And Its Subgroups,” Journal of Fundamental Mathematics and Application Vol.3 No.1, pp 15-18, 2020
  8. Syarifudin A G, Wardhana I G A W, Switrayni N W, & Aini Q, “Some Properties of Coprime Graph of Dihedral Group When is Prime Power”, Journal of Fundamental Mathematics and Applications, vol. 3, no. 1, pp. 34-38, 2020

Last update:

No citation recorded.

Last update:

No citation recorded.