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
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
  • [31] ZERO-DIVISOR GRAPH OF AN IDEAL OF A NEAR-RING
    Chelvam, T. Tamizh
    Nithya, S.
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2013, 5 (01)
  • [32] THE ZERO-DIVISOR GRAPH OF A COMMUTATIVE RING WITHOUT IDENTITY
    Anderson, David F.
    Weber, Darrin
    INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2018, 23 : 176 - 202
  • [33] Pancyclic zero divisor graph over the ring Zn[i]
    Kumar, Ravindra
    Prakash, Om
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2022, 14 (08)
  • [34] Analysis of the Zagreb Indices over the Weakly Zero-Divisor Graph of the Ring ZpxZtxZs
    Rehman, Nadeem Ur
    Alali, Amal S.
    Mir, Shabir Ahmad
    Nazim, Mohd
    AXIOMS, 2023, 12 (10)
  • [35] On the complement of the total zero-divisor graph of a commutative ring
    Visweswaran, S.
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2023, 17 (02): : 740 - 753
  • [36] On the complement of the total zero-divisor graph of a commutative ring
    S. Visweswaran
    São Paulo Journal of Mathematical Sciences, 2023, 17 : 740 - 753
  • [37] Automorphisms of the zero-divisor graph of the full matrix ring
    Zhou, Jinming
    Wong, Dein
    Ma, Xiaobin
    LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (05): : 991 - 1002
  • [38] 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
  • [39] The extended zero-divisor graph of a commutative ring II
    Bakhtyiari, M.
    Nikmehr, M. J.
    Nikandish, R.
    HOKKAIDO MATHEMATICAL JOURNAL, 2017, 46 (03) : 395 - 406
  • [40] 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