折叠立方体网络Q_(fn) Laplace矩阵的谱

Spectra of Laplacian matrix of folded hypercube Q_(fn)

图G的Laplace矩阵的谱是由L(G)的所有特征值构成的.研究了一类重要的互连网络拓扑结构折叠立方体网络Qfn的Laplace矩阵的谱.由于折叠立方体Qfn是在超立方体Qn的基础上增加了互补边形成的,利用从Qn的Laplace矩阵An构造Qfn的Laplace矩阵Bn的对偶矩阵Cn=An-I*n+In的方法,确定了Bn和Cn的关系为︱Bn+1︱=︱Bn ︱︱Cn-4In︱,从而确定了折叠立方体的Laplace矩阵Bn的谱.

The spectra of Laplacian matrix of graph G consist of all eigenvalues of L（G）. The Laplace spectra of folded hypercube Qf. are studied, which are important interconnection network topological structure. hypercube of Laplace Bn4-1 I The n dimensional folded hypercube is an undirected graph obtained from n dimensional by adding all complementary edges. By means of Laplacian matrix An of Q., the dual matrix matrix Bn of Qfn is constructed as C =An--12 ＋L, the relationship between Bn and Cn is Bn I ICn--4I I and the spectra of Laplace matrix B. of Q are obtained.