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
  • [1] Randic spectrum of the weakly zero-divisor graph of the ring Zn
    Rehman, Nadeem Ur
    Alghamdi, Ahmad M.
    Almotairi, Eman S.
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2024, 21 (03) : 302 - 309
  • [2] On Aα spectrum of the zero-divisor graph of the ring Zn
    Ashraf, Mohammad
    Mozumder, M. R.
    Rashid, M.
    Nazim
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2024, 16 (04)
  • [3] ON SPECTRUM OF THE ZERO-DIVISOR GRAPH OF MATRIX RING
    Masalkar, Krishnat
    Khairnar, Anil
    Lande, Anita
    Kadam, Lata
    arXiv, 2023,
  • [4] ON ITERATION DIGRAPH AND ZERO-DIVISOR GRAPH OF THE RING Zn
    Ju, Tengxia
    Wu, Meiyun
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (03) : 611 - 628
  • [5] On the zero-divisor graph of a ring
    Anderson, David F.
    Badawi, Ayman
    COMMUNICATIONS IN ALGEBRA, 2008, 36 (08) : 3073 - 3092
  • [6] On Randic spectrum of zero divisor graphs of commutative ring Zn
    Rather, Bilal A.
    Pirzada, S.
    Bhat, M. Imran
    Chishti, T. A.
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2021, : 103 - 113
  • [7] Common zero-divisor graph over a commutative ring
    Abbasnia, Fazlahmad
    Khashyarmanesh, Kazem
    Erfanian, Ahmad
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2024, 17 (01)
  • [8] On the zero-divisor graph of a commutative ring
    Akbari, S
    Mohammadian, A
    JOURNAL OF ALGEBRA, 2004, 274 (02) : 847 - 855
  • [9] The zero-divisor graph of a commutative ring
    Anderson, DF
    Livingston, PS
    JOURNAL OF ALGEBRA, 1999, 217 (02) : 434 - 447
  • [10] The Zero-divisor Graph of Zn[X]]
    Park, Min Ji
    Kim, Eun Sup
    Lim, Jung Wook
    KYUNGPOOK MATHEMATICAL JOURNAL, 2020, 60 (04): : 723 - 729