ON THE TOPOLOGICAL INDICES OF ZERO DIVISOR GRAPHS OF SOME COMMUTATIVE RINGS

被引：0

作者：

Maulana, Fariz ^{[1
]}

Aditya, Muhammad Zulfikar ^{[1
]}

Suwastika, Erma ^{[1
]}

Muchtadi-Alamsyah, Intan ^{[1
]}

Alimon, Nur Idayu

Sarmin, Nor Haniza

机构：

[1] Inst Teknol Bandung, Fac Math & Nat Sci, Jl Ganesha 10, Bandung 40132, Indonesia

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2024年 / 42卷 / 03期

关键词：

Wiener index; hyper-wiener index; Harary index; edge-Wiener index; first Zagreb index; second Zagreb index; Gutman index; zero divisor graph;

D O I：

10.14317/jami.2024.663

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The zero divisor graph is the most basic way of representing an algebraic structure as a graph. For any commutative ring R, each element is a vertex on the zero divisor graph and two vertices are defined as adjacent if and only if the product of those vertices equals zero. In this research, we determine some topological indices such as the Wiener index, the edgeWiener index, the hyper -Wiener index, the Harary index, the first Zagreb index, the second Zagreb index, and the Gutman index of zero divisor graph of integers modulo prime power and its direct product.

引用

页码：663 / 680

页数：18

共 50 条

[21] CUT VERTICES IN ZERO-DIVISOR GRAPHS OF FINITE COMMUTATIVE RINGS
Axtell, M.
Baeth, N.
Stickles, J.
COMMUNICATIONS IN ALGEBRA, 2011, 39 (06) : 2179 - 2188
[22] On locating numbers and codes of zero divisor graphs associated with commutative rings
Raja, Rameez
Pirzada, S.
Redmond, Shane
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2016, 15 (01)
[23] Independent domination polynomial of zero-divisor graphs of commutative rings
Gursoy, Necla Kircali
Ulker, Alper
Gursoy, Arif
SOFT COMPUTING, 2022, 26 (15) : 6989 - 6997
[24] Upper dimension and bases of zero-divisor graphs of commutative rings
Pirzada, S.
Aijaz, M.
Redmond, S. P.
AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2020, 17 (01) : 168 - 173
[25] Independent domination polynomial of zero-divisor graphs of commutative rings
Necla Kırcalı Gürsoy
Alper Ülker
Arif Gürsoy
Soft Computing, 2022, 26 : 6989 - 6997
[26] Central sets and radii of the zero-divisor graphs of commutative rings
Redmond, Shane P.
COMMUNICATIONS IN ALGEBRA, 2006, 34 (07) : 2389 - 2401
[27] On some topological indices of zero divisor graphs of direct product of three finite fields
Gaded, Subhash Mallinath
Narayana, Nithya Sai
EXAMPLES AND COUNTEREXAMPLES, 2024, 5
[28] Quasi-Zero-Divisor Graphs of Non-Commutative Rings
Shouxiang ZHAO
Jizhu NAN
Gaohua TANG
JournalofMathematicalResearchwithApplications, 2017, 37 (02) : 137 - 147
[29] Metric and upper dimension of zero divisor graphs associated to commutative rings
Pirzada, S.
Aijaz, M.
ACTA UNIVERSITATIS SAPIENTIAE INFORMATICA, 2020, 12 (01) : 84 - 101
[30] ON COMPRESSED ZERO-DIVISOR GRAPHS OF FINITE COMMUTATIVE LOCAL RINGS
Zhuravlev, E., V
Filina, O. A.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2021, 18 (02): : 1531 - 1555

← 1 2 3 4 5 →