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．
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.
基金
国家自然科学基金(10461009)
教育部自然科学重点研究项目(205170)
关键词
伴随多项式
特征标
最小根
序
adjoint polynomial
character
minimum roots
order.
