Laplacian and Wiener index of extension of zero divisor graph

被引:0
|
作者
Bora, Pallabi [1 ]
Rajkhowa, Kukil Kalpa [1 ]
机构
[1] Cotton Univ Guwahati, Dept Math, Gauhati 781001, India
关键词
Laplacian matrix; Laplacian spectrum; Zero divisor; Wiener index;
D O I
10.1016/j.dam.2024.05.025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The main purpose of this paper is to study the Laplacian eigenvalues of the extension of the zero divisor graph, Gamma e ( Z n ) , for some particular values of n . We characterize the values of n that give the equality of the spectral radius and the second -smallest eigenvalue of Gamma e ( Z n ). Finding Wiener index of Gamma e ( Z n ) in terms of its Laplacian eigenvalues is another objective of this paper. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页码:229 / 237
页数:9
相关论文
共 50 条
  • [1] Eigenvalues and Wiener index of the Zero Divisor graph Γ[Zn]
    Surendranath Reddy, B.
    Jain, Rupali S.
    Laxmikanth, N.
    arXiv, 2017,
  • [2] The Wiener index of the zero-divisor graph of Zn
    Asir, T.
    Rabikka, V
    DISCRETE APPLIED MATHEMATICS, 2022, 319 : 461 - 471
  • [3] The Wiener Index and the Wiener Complexity of the Zero-Divisor Graph of a Ring
    Dolzan, David
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2025, 51 (01)
  • [4] Wiener index and graph energy of zero divisor graph for commutative rings
    Rayer, Clement Johnson
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (11)
  • [5] Wiener index and graph energy of zero divisor graph for commutative rings
    Rayer, Clement Johnson
    Jeyaraj, Ravi Sankar
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023,
  • [6] Adjacency matrix and Wiener index of zero divisor graph Γ(Zn)
    Singh, Pradeep
    Bhat, Vijay Kumar
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 66 (1-2) : 717 - 732
  • [7] Wiener and Harary index of the zero-divisor graph of ℤn
    Mahale, Ravindra P.
    Pawar, Kishor F.
    Patil, Avinash A.
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2024,
  • [8] The Wiener index of the zero-divisor graph of a finite commutative ring with unity?
    Selvakumar, K.
    Gangaeswari, P.
    Arunkumar, G.
    DISCRETE APPLIED MATHEMATICS, 2022, 311 : 72 - 84
  • [9] The wiener index of the zero-divisor graph for a new class of residue class rings
    Wei, Yinhu
    Luo, Ricai
    FRONTIERS IN CHEMISTRY, 2022, 10
  • [10] Laplacian eigenvalues of the zero divisor graph of the ring Zn
    Chattopadhyay, Sriparna
    Patra, Kamal Lochan
    Sahoo, Binod Kumar
    Linear Algebra and Its Applications, 2020, 584 : 267 - 286