【摘要】 在URT(Uniform Recursive Tree)模型的基础上提出一种广义的确定性均匀递归树复杂网络演化模型GDURT(Generalized Deterministic Uniform Recursive Tree).通过设计一种能够真实反映网络增长演变特点的最优分层节点编号方法,结合代数化简,找出了GDURT网络的拉普拉斯特征值和特征向量递推关系式,并对GDURT网络的拉普拉斯谱性质做了分析.更多还原

【Abstract】 The GDURT(Generalized Deterministic Uniform Recursive Tree)evolution model of complex networks is put forward on the basis of URT(Uniform Recursive Tree)model.The complete recursive relations of Laplacian spectra(eigenvalues)and their corresponding eigenvectors are determined by the algebraic reduction and a special optimal layered numbering method for nodes which can really reflect the evolution characteristics of the networks.Some analysis is made to reveal the main characteristics of Laplacian spectra of GDURT networks.更多还原