Wiener and Harary index of the zero-divisor graph of ℤn

被引:1
|
作者
Mahale, Ravindra P. [1 ]
Pawar, Kishor F. [2 ]
Patil, Avinash A. [1 ]
机构
[1] JETs ZB Patil Coll, Dept Math, Dhule 424002, Maharashtra, India
[2] North Maharashtra Univ, Dept Math, Kavayitri Bahinabai Chaudhari, Jalgaon 425001, Maharashtra, India
关键词
Zero-divisor graph; Wiener index; Harary index;
D O I
10.1142/S179383092450099X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The zero-divisor graph of a ring R is a graph whose vertex set consists of all the elements of R and distinct vertices x and y are adjacent if and only if xy = 0. We study the zero-divisor graph Gamma(0)(& Zopf;(n)), for n = p(k), pq, pqr, where p, q and r are distinct primes. Topological indices such as Wiener and Harary indices of Gamma(0)(& Zopf;(n)) are determined.
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页数:14
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