Energy and Wiener index of divisor graph of commutative ring

被引:0
|
作者
Khandare, P. D. [1 ]
Jogdand, S. M. [2 ]
Muneshwar, R. A. [3 ]
机构
[1] GESs Shri Bhausaheb Vartak Coll, Dept Math & Stat, Borivali 400091, Maharashtra, India
[2] SSGM Coll Loha, Dept Math, Nanded 431708, Maharashtra, India
[3] NESs Sci Coll, Dept Math, Nanded 131602, Maharashtra, India
来源
关键词
Ring; Graph; Energy of graph; Wiener index etc;
D O I
10.47974/JIOS-1287
中图分类号
G25 [图书馆学、图书馆事业]; G35 [情报学、情报工作];
学科分类号
1205 ; 120501 ;
摘要
In recent paper, P. D. Khandare et al. introduced a graphical structure of non empty finite ring R called as divisor graph D[R] and discussed some properties of the graph D[Z(n)]. In this article, we will continue the study of the divisor graph D[Z(n)]. Z and discuss some more properties of D[Z(n)]. If n is an element of N then we derive general formula for total degree and stability number of n is an element of Z Moreover we find adjacency matrix of the graph D[Z(n)]. and derived formula for energy of D[Z(n)] when n = p(k), k is an element of N and n = pq, for primes p and q.
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页码:957 / 974
页数:18
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