ON RANDIC SPECTRUM OF THE ZERO-DIVISOR GRAPH OVER THE RING Zn

被引:0
|
作者
Rehman, Nadeem Ur [1 ]
Rashid, M. [1 ]
Mozumder, M. R. [1 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh, India
来源
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2023年 / 13卷
关键词
Zero-divisor graph; Randic matrix; ring of integer modulo n; LAPLACIAN SPECTRUM;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let R be a commutative ring and Z(R) be its zero-divisors set. The zero -divisor graph of R, denoted by G(R), is an undirected graph with vertex set Z(R)* = Z(R) \ {0} and two distinct vertices a and b are adjacent if and only if ab = 0. In this article, for n = p(M1) q(M2) where p and q are primes (p < q) and M1 and M2 are positive integers, we calculate the Randic eigenvalues of the graphs G(Z(n)).
引用
收藏
页码:385 / 394
页数:10
相关论文
共 50 条
  • [21] Pancyclic zero divisor graph over the ring Zn[i]
    Kumar, Ravindra
    Prakash, Om
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2022, 14 (08)
  • [22] The Zero-divisor Graph of the Ring of Integers Modulo n
    Pi, Seung Jun
    Kim, Se Hun
    Lim, Jung Wook
    KYUNGPOOK MATHEMATICAL JOURNAL, 2019, 59 (04): : 591 - 601
  • [23] ON GENERALIZED ZERO-DIVISOR GRAPH ASSOCIATED WITH A COMMUTATIVE RING
    Basharlou, N. Jahanbakhsh
    Nikmehr, M. J.
    Nikandish, R.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, (39): : 128 - 139
  • [24] The Zero-Divisor Graph of a Lattice
    Estaji, Ehsan
    Khashyarmanesh, Kazem
    RESULTS IN MATHEMATICS, 2012, 61 (1-2) : 1 - 11
  • [25] GENERALIZATIONS OF THE ZERO-DIVISOR GRAPH
    Anderson, David F.
    McClurkin, Grace
    INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2020, 27 : 237 - 262
  • [26] The Zero-Divisor Graph of a Lattice
    E. Estaji
    K. Khashyarmanesh
    Results in Mathematics, 2012, 61 : 1 - 11
  • [27] Automorphisms of the zero-divisor graph of 2 x 2 matrix ring over Zps
    Zhang, Hengbin
    Nan, Jizhu
    Tang, Gaohua
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2017, 16 (12)
  • [28] DOMINATION IN THE ZERO-DIVISOR GRAPH OF AN IDEAL OF A NEAR-RING
    Chelvam, T. Tamizh
    Nithya, S.
    TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (05): : 1613 - 1625
  • [29] On the eigenvalues of zero-divisor graph associated to finite commutative ring
    Pirzada, S.
    Wani, Bilal A.
    Somasundaram, A.
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2021, 18 (01) : 1 - 6
  • [30] THE ZERO-DIVISOR GRAPH UNDER A GROUP ACTION IN A COMMUTATIVE RING
    Han, Juncheol
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (05) : 1097 - 1106