Normalized Laplacian Energy and Distance Based Energy for Cross Monic Zero Divisor Graphs Associated with Commutative Ring

被引：0
|
作者：
Sarathy, R. [1 ]
Sankar, J. Ravi [1 ]
机构：
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore, Tamil Nadu, India
来源：
CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 02期
关键词：
commutative ring; laplacian energy; distance signless laplacian energy; normalized laplacian energy;
D O I：
10.37256/cm.5220244030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Cross monic zero divisor graph for a commutative ring R is a connected graph, denoted by CM ZG ( Z(n) x Z(m)[x]/(f(x))) with order xi, whose vertices are non-zero zero divisors Z(R)/{0} of commutative ring, and two vertices u, v are connected by an edge if and only if uv = 0. In this paper, we discuss energy, Laplacian energy, distance energy and distance signless Laplacian energy for CM ZG (Z(2) x Z(p>2)[x] /(x(2))) and CM ZG (Z(p) x Z(p)[x]/(x(2))) . Also, we determine the normalized Laplacian energy.
引用
收藏
页码：1282 / 1299
页数：18
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