On vertex connectivity of zero-divisor graphs of finite commutative rings

被引：1

作者：

Chattopadhyay, Sriparna ^{[1
]}

Patra, Kamal Lochan ^{[2
]}

Sahoo, Binod Kumar ^{[2
]}

机构：

[1] Natl Inst Adv Mfg Technol, Dept Appl Sci & Humanities, Ranchi 834003, Jharkhand, India

[2] Homi Bhabha Natl Inst, Natl Inst Sci Educ & Res Bhubaneswar, Sch Math Sci, OCC, Khurja 752050, Odisha, India

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2024年 / 59卷 / 04期

关键词：

Local principal ideal ring; Generalized join graph; Zero-divisor graph; Compressed zero-divisor graph; Vertex connectivity;

D O I：

10.1007/s10801-024-01314-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a finite commutative ring with identity. We study the structure of the zero-divisor graph of R and then determine its vertex connectivity when: (i) R is a local principal ideal ring, and (ii) R is a finite direct product of local principal ideal rings. For such rings R, we also characterize the vertices of minimum degree and the minimum cut-sets of the zero-divisor graph of R.

引用

页码：955 / 969

页数：15

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