零因子图$Γ[\mathbb {Z}_n]$的特征值和Wiener指标
Eigenvalues and Wiener index of the Zero Divisor graph $Γ[\mathbb {Z}_n]$
摘要：
交换环$R$的零因子图记为$Γ[R]$，是指其顶点是$R$的非零零因子且两个顶点的乘积为零时相邻的图.本文研究了具有$p$和$q$素数的$n=p^3$和$n=p^2q$的零因子图$Γ[\mathbb{Z}_n]$.讨论了零因子图$Γ[\mathbb{Z}_n]$的邻接矩阵和特征值。我们还计算了图$Γ[\mathbb{Z}_n]$的能量。
英文摘要：
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. In this paper, we consider the zero divisor graph $Γ[\mathbb{Z}_n]$ for $n=p^3$ and $n=p^2q$ with $p$ and $q$ primes. We discuss the adjacency matrix and eigenvalues of the zero divisor graph $Γ[\mathbb{Z}_n]$. We also calculate the energy of the graph $Γ[\mathbb{Z}_n]$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
