COPRIME GRAPH OF INTEGERS MODULO n GROUP AND ITS SUBGROUPS

Juliana, Rina; Masriani, Masriani; Wardhana, I Gede Adhitya Wisnu; Switrayni, Ni Wayan; Irwansyah, Irwansyah

doi:10.14710/jfma.v3i1.7412

Cited by 4 publications

(5 citation statements)

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“…Graf koprima atas suatu grup adalah topik yang sering menjadi fokus penelitian, salah satunya adalah pada grup bilangan bulat modulo ℤ 𝑛 yang dipelajari oleh Juliana (Juliana et al, 2020). Dalam konteks ini, graf tersebut selalu memiliki struktur multipartit, yang menjadi salah satu ciri utama dalam analisisnya.…”

Section: Formulasi Pada Representasi Graf Koprimaunclassified

Abstraksi Chemical Topological Graph (Ctg) Melalui Indeks Topologis Graf Aljabar

Ningrum,

Siboro,

Lestari

et al. 2024

saintek

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Dalam bidang kimia teoritis dan komputasional, penggunaan Chemical Topological Graph (CTG) sebagai representasi grafis molekul memainkan peran penting dalam memahami struktur molekul dan sifat-sifat kimianya. CTG memungkinkan visualisasi molekul, analisis ikatan kimia, dan pengembangan model prediktif. Kaitan antara CTG dan struktur aljabar terjadi melalui konsep representasi graf, yang membuka pintu bagi penerapan metode dan konsep aljabar dalam analisis dan pemodelan molekul. Dalam artikel ini, diberikan abstraksi hubungan antara graf topologis kimia dan struktur aljabar melalui representasi graf. Hasil yang didapatkan.

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Section: Formulasi Pada Representasi Graf Koprimaunclassified

Abstraksi Chemical Topological Graph (Ctg) Melalui Indeks Topologis Graf Aljabar

Ningrum,

Siboro,

Lestari

et al. 2024

saintek

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“…These are some definitions and theorems to use in this research. The order of an element of groups is defined as follows Definition 1 [11] If 𝐺 is a group with identity 𝑒 and 𝑥 ∈ 𝐺, the order of 𝑥 is the power of natural number such that 𝑥 𝑘 = 𝑒 and write |𝑥| = 𝑘 .…”

Section: Basic Terminologymentioning

confidence: 99%

“…And last, we will give you a theorem that is very important through this article. Theorem 1 [11] If 𝑛 = 𝑝 𝑘 is for some prime p and 𝑘𝜖ℕ, then the coprime graph of ℤ 𝑛 is a complete bipartite graph. Proof.…”

Section: Basic Terminologymentioning

confidence: 99%

See 1 more Smart Citation

The Harmonic Index and the Gutman Index of Coprime Graph of Integer Group Modulo With Order of Prime Power

Husni

Syafitri

Siboro

et al. 2022

BAREKENG: J. Math. & App.

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In the field of mathematics, there are many branches of study, especially in graph theory, mathematically a graph is a pair of sets, which consists of a non-empty set whose members are called vertices and a set of distinct unordered pairs called edges. One example of a graph from a group is a coprime graph, where a coprime graph is defined as a graph whose vertices are members of a group and two vertices with different x and y are neighbors if only if (|x|,|y|)=1. In this study, the author discusses the Harmonic Index and Gutman Index of Coprime Graph of Integer Group Modulo n. The method used in this research is a literature review and analysis based on patterns formed from several case studies for the value of n. The results obtained from this study are the coprime graph of the group of integers modulo n has the harmonic index of and the Gutman index for where is prime and is a natural number.

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“…Some authors give some properties of the non-coprime graph and the coprime graph to more specific groups. Rilwan et al give some properties of the non-coprime graph of integer [4], Juliana et al give some properties of the non-coprime graph of an integer modulo [7], and Syarifudin et al give some properties of the non-coprime graph of dihedral groups [8].…”

Section: Introductionmentioning

confidence: 99%