中文摘要：

设R是带有1的交换环,环R的零因子图Γ（R）是一个简单图,其中图的顶点是R的所有非零的零因子,且顶点x与顶点y有边当且仅当x≠y,且xy=0.文章主要刻画了一类有限交换局部环,使得它们的零因子图是恰有2个中心且带刺的完全图.

英文摘要：

Let R be the commutative ring with 1, the zero-divisor graph F（R） of R is a simple graph whose vertices are the nonzero zero--divisors, and there is an edge between vertices x and y if and only if x, y and xy = 0. The finite commutative local rings were classified, making the zero-divisor graphs proper refinement of complete graphs with two centers and a thorn.