论文标题
压缩零除数图的特征方程式和维也纳索引
The characteristic equation and Wiener index of a compressed zero divisor graph
论文作者
论文摘要
由$γ[r] $表示的交换环$ r $的零除数图是一个图形，其顶点为R的零为零，如果它们的产品为零，则两个顶点相邻。压缩的零除数图$γ_e[r] $是（无向）图，其顶点是等效类别，使得不同的顶点[r]和[S]仅在rs = 0时相邻。 $ m = p^n $，带有Prime $ P $。
The Zero divisor Graph of a commutative ring $R$, denoted by $Γ[R]$, is a graph whose vertices are non-zero zero divisors of R and two vertices are adjacent if their product is zero. The compressed zero divisor graph $Γ_E[R]$ is the (undirected) graph whose vertices are the equivalence classes such that distinct vertices [r] and [s] are adjacent if and only if rs = 0. In this paper we derive the characteristic polynomial and Wiener index of the Compressed zero divisor graph $Γ_{E}[\mathbb{Z}_m]$ where $m=p^n$ with prime $p$.
