On Randic spectrum of zero divisor graphs of commutative ring Zn

被引：6

作者：

Rather, Bilal A. ^{[1
]}

Pirzada, S. ^{[1
]}

Bhat, M. Imran ^{[2
]}

Chishti, T. A. ^{[3
]}

机构：

[1] Univ Kashmir, Dept Math, Srinagar, India

[2] Cent Univ Kashmir, Dept Math, Kashmir, India

[3] Univ Kashmir, Math Sect, DDE, Srinagar, India

来源：

COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION | 2021年

关键词：

Randic  matrix; spectrum; zero divisor graph; commutative rings; LAPLACIAN SPECTRUM; EIGENVALUES;

D O I：

10.22049/CCO.2021.27202.1212

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a finite commutative ring Z(n) with identity 1 not equal 0, the zero divisor graph Gamma(Z(n)) is a simple connected graph having vertex set as the set of non-zero zero divisors, where two vertices x and y are adjacent if and only if xy = 0. We find the Randic spectrum of the zero divisor graphs Gamma(Z(n)), for various values of n and characterize n for which Gamma(Z(n)) is Randic integral.

引用

页码：103 / 113

页数：11

共 19 条

[1] BECK COLORING OF A COMMUTATIVE RING [J].