中文摘要：

本文引入了图族伴随多项式的最小根极值，用它刻画了特征标不小于-1的图族伴随多项式的最小根极值，给出了其对应的极图，并由此得到了一些有关这些图族伴随多项式最小根序关系的新结果．

英文摘要：

In this paper, the extremes of the minimum real roots of the adjoint polynomials of graphs are defined, and the graphs with R（G） ≥ -1 are characterized by the extremes of the minimum real roots of its adjoint polynomials. Moreover, the root extreme graphs of the adjoint polynomials of graphs with R（G） ≥-1 are given. Then, some new results on the order of the minimum real roots of the adjoint polynomials of graphs are obtained.