运用n阶矩阵B=(b_(ij))≥0的第二大特征值的结果,结合图论的背景,得出了n阶k-正则图G的第二大特征值θ_2(A(G))≤k-(?){|N_i∩N_j|},最小的特征值θ_n(A(G))满足:θ_n(A(G))≥-1-(?){k-|N_i∩N_j|-1,k- |N_i∩N_j|+1}.
In this paper,we use the second largest modulus of the eigenvalues of B=(b_(ij))≥0,and the property of k-regular graph,obtain the bound of the second largest of the eigenvalues of G.θ_2(A(G))≤k-(?) {|N_i∩N_j|}, and the bound of the minimum eigenvalues of G:θ_n(A(G))≥-1-(?){k-|N_i∩N_j-1|,k-|N_i∩N_j|+1}.