两类图的伴随多项式根的研究

On the roots of adjoint polynomials of two classes of graphs

研究图的伴随多项式根的分布情况。证明了两类图T(1,2,l,1,1),Bm(1,1)的伴随多项式根在一些条件下是单重的。其中T(l1,l2,l3,l4,l5)表示从长为l3路的2个一度点分别引出长为l1,l2和l3,l4的路树。Bm(1.1)表示Cm的一个点粘接两个P2的悬持点。此结果对应用图论方法研究多项式理论有重要意义。

Aim to research for distribution of the adjoint polynomial of graphs. The method of algebraic combination is used. the roots of T（ 1,2,l,1,1 ） and Bm （1,1） are simple muhiple under the circumstance. T（l1 ,l2,l3 ,l4 ,l5 ） denotes the tree with a path of length l3, and form each end-verex of this path, we draw two paths of length l1 , l2 and two paths of lengthl4 , l5. It＇s meaningful for researching for polynomial theory by graphy theory.