Sombor index of zero-divisor graphs of commutative rings

被引：7

作者：

Gursoy, Arif ^{[1
]}

Ulker, Alper ^{[2
]}

Kircali Gursoy, Necla ^{[3
]}

机构：

[1] Ege Univ, Dept Math, TR-35040 Izmir, Turkey

[2] Istanbul Kultur Univ, Dept Math & Comp Sci, TR-34156 Istanbul, Turkey

[3] Ege Univ, Tire Kutsan Vocat Sch, TR-35900 Izmir, Turkey

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2022年 / 30卷 / 02期

关键词：

Topological indices; Sombor index; zero-divisor graph; vertex degree; algorithm; ZAGREB INDEXES;

D O I：

10.2478/auom-2022-0028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the Sombor index of the zero-divisor graph of DOUBLE-STRUCK CAPITAL Z (n) which is denoted by Gamma(DOUBLE-STRUCK CAPITAL Z (n) ) for n is an element of {p(alpha), pq, p (2) q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Gamma(DOUBLE-STRUCK CAPITAL Z (n) ). Finally, we give Sombor index of product of rings of integers modulo n.

引用

页码：231 / 257

页数：27

共 51 条

[1] Annihilating-ideal graphs of commutative rings [J].