Adjacency matrix and Wiener index of zero divisor graph Γ(Zn)

被引:31
作者
Singh, Pradeep [1 ]
Bhat, Vijay Kumar [1 ]
机构
[1] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, Jammu & Kashmir, India
关键词
Topological indices; Wiener index; Laplacian energy; Zagreb indices;
D O I
10.1007/s12190-020-01460-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Topological indices are widely used for characterizing molecular graphs, establishing relationships between structure and properties of molecules. In this article we discuss adjacency matrix and three topological indices: Wiener index, Laplacian energy and Zagreb indices of zero-divisor graphs of Z(n). We also provide a MATLAB code for Laplacian energy and Zagreb indices of Gamma(Z(n)).
引用
收藏
页码:717 / 732
页数:16
相关论文
共 17 条
[1]  
Ahmadi MR, 2011, IRAN J MATH CHEM, V2, P45
[2]   The zero-divisor graph of a commutative ring [J].
Anderson, DF ;
Livingston, PS .
JOURNAL OF ALGEBRA, 1999, 217 (02) :434-447
[3]   COLORING OF COMMUTATIVE RINGS [J].
BECK, I .
JOURNAL OF ALGEBRA, 1988, 116 (01) :208-226
[4]   Laplacian eigenvalues of the zero divisor graph of the ring Zn [J].
Chattopadhyay, Sriparna ;
Patra, Kamal Lochan ;
Sahoo, Binod Kumar .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 584 :267-286
[5]  
Estrada E, 1998, INDIAN J CHEM A, V37, P849
[6]   GRAPH THEORY AND MOLECULAR-ORBITALS .12. ACYCLIC POLYENES [J].
GUTMAN, I ;
RUSCIC, B ;
TRINAJSTIC, N ;
WILCOX, CF .
JOURNAL OF CHEMICAL PHYSICS, 1975, 62 (09) :3399-3405
[7]  
Gutman I, 2001, ALGEBRAIC COMBINATORICS AND APPLICATIONS, P196
[8]  
Gutman I., 1978, BER MATH STATIST SEK, V103, P1, DOI [DOI 10.1016/J.LAA.2004.02.038, DOI 10.1088/1742-5468/2008/10/P10008]
[9]  
HOU Y, 2001, MATCH COMMUN MATH CO, V43, P29
[10]   Mathematical aspects of Wiener index [J].
Knor, Martin ;
Skrekovski, Riste ;
Tepeh, Aleksandra .
ARS MATHEMATICA CONTEMPORANEA, 2016, 11 (02) :327-352