The Gutman index and the edge-Wiener index of graphs with given vertex-connectivity

Mazorodze, Jaya Percival; Mukwembi, Simon; Vetrík, Tomáš

doi:10.7151/dmgt.1900

Cited by 4 publications

(4 citation statements)

References 7 publications

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“…Indeks Gutman adalah alat penting dalam kimia yang digunakan untuk menggambarkan struktur molekuler dan memahami hubungan antara struktur tersebut dengan sifat-sifat kimia, termasuk prediksi sifat fisik, aktivitas biologis, dan reaktivitas kimia senyawa organik. Ini berperan dalam desain obat, analisis kuantitatif struktur-sifat, dan pemahaman lebih dalam tentang struktur molekuler dan sifat kimia yang terkait (Mazorodze et al, 2016) Indeks Wiener dinamai sesuai dengan Harry Wiener, yang memperkenalkannya pada tahun 1947. Ini adalah indeks topologi tertua yang terkait dengan percabangan molekul kimia.…”

Section: Hasil Dan Pembahasanunclassified

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: Hasil Dan Pembahasanunclassified

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

Ningrum,

Siboro,

Lestari

et al. 2024

saintek

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“…Definition 5 [17] Let 𝒢 be a simple connected graph. The Gutman index of 𝒢, denoted by 𝐺𝑢𝑡(𝒢), is defined as…”

Section: Preliminariesmentioning

confidence: 99%

The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group

Asmarani,

Lestari,

Purnamasari

et al. 2023

CAUCHY

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Research on graphs combined with groups is an interesting topic in the field of combinatoric algebra where graphs are used to represent a group. One type of graph representation of a group is a power graph. A power graph of the group G is defined as a graph whose vertex set is all elements of G and two distinct vertices a and b are adjacent if and only if or for a positive integer and . In addition to mathematics, graph theory can be applied to various fields of science, one of which is chemistry, which is related to topological indices. In this study, the topological indexes will be discussed, namely the Zagreb index, the Wiener index, and the Gutman index of the power graph of the dihedral group where with prime numbers and an natural number. The method used in this research is a literature review. The results obtained from this study are the first Zagreb index, Wiener index, and Gutman index of the power graph of the dihedral group where where is prime and an m natural number respectively is .

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“…Selanjutnya ada indeks Gutman dan diberikan definisi sebagai berikut Definisi 3.5. [14] Indeks gutman suatu graf G atau dilambangkan dengan (G) didefinisikan sebagai…”

Section: Hasil Dan Pembahasanunclassified

Topology Index of the Coprime Graph for Dihedral Group of Prime Power Order

Gayatri,

Fadhilah,

Lestari

et al. 2023

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In the field of molecular chemistry, graph theory is utilized to represent the structure of a molecule, where the set of nodes corresponds to its chemical elements and the set of edges represents the bonds within the chemical molecule. Graph theory, a mathematical discipline, finds application in various domains, one of which is group representation. This research will delve into the topic of the topological indices of the coprime graph of dihedral groups. The methodology employed involves reviewing several references related to dihedral groups, coprime graphs, and topological indices. This study yields results in the form of Harmonic index, Harary index, first Zagreb index, Gutman index, and Wiener index.

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The Gutman index and the edge-Wiener index of graphs with given vertex-connectivity

Cited by 4 publications

References 7 publications

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

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

The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group

Topology Index of the Coprime Graph for Dihedral Group of Prime Power Order

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