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EIGENVECTOR: 作品数：79被引量：90H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：程时昕刘希玉杨维赵世佳林令娟更多>>; 相关机构：密西西比大学东南大学天津师范大学山东师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划福建省自然科学基金更多>>

A Note on the Aα-Spectral Radius of a Graph: 《Journal of Mathematical Research with Applications》2023年第1期1-8,共8页Hongzhang CHEN Jianxi LI; Supported by the National Natural Science Foundation of China(Grant No.12171089);the Natural Science Foundation of Fujian Province(Grant No.2021J02048).; Let G be a simple graph of order n and ρα(G) be the Aα(G)-spectral radius of G.In this note,for any vertex viof G,we establish the relationship between ρα(G) and ρα(G-vi).; 关键词：GRAPH Aα-spectral radius Principal eigenvector

Nondegeneracy of eigenvectors and singular vector tuples of tensors: 《Science China Mathematics》2022年第12期2483-2492,共10页Shenglong Hu; supported by National Natural Science Foundation of China(Grant No.11771328);Young Elite Scientists Sponsorship Program by Tianjin and the Natural Science Foundation of Zhejiang Province of China(Grant No.LD19A010002)。; In this article, nondegeneracy of singular vector tuples, Z-eigenvectors and eigenvectors of tensors is studied, which have found many applications in diverse areas. The main results are:(ⅰ)each(Z-)eigenvector/singul...; 关键词：tensor singular vector tuple EIGENVECTOR Z-eigenvector NONDEGENERACY generic

Total Graphs Are Laplacian Integral: 《Algebra Colloquium》2022年第3期427-436,共10页David Dolžan Polona Oblak; the financial support from the Slovenian Research Agency(research core funding No.P1-0222).; We prove that the Laplacian matrix of the total graph of a finite commutative ring with identity has integer eigenvalues and present a recursive formula for computing its eigenvalues and eigenvectors.We also prove tha...; 关键词：EIGENVALUE EIGENVECTOR Laplacian matrix total graph Laplacian integral

The Least Eigenvalue of Unicyclic Graphs with Application to Spectral Spread被引量：1: 《Algebra Colloquium》2022年第2期265-272,共8页Jiming Guo Gege Zhang Zhiwen Wang Panpan Tong; supported by NSFC(No.12171154).; Let U^(g)_(n)be the set of connected unicyclic graphs of order n and girth g.Let C(T_(1),T_(2),…,T_(g))∈U^(g)_(n)be obtained from a cycle v_(1)v_(2)…v_(g)v_(1)(in an anticlockwise direction)by identifying v_(i)with...; 关键词：adjacency matrix least eigenvalue EIGENVECTOR unicyclic graph

The Maximum α-spectral Radius of Unicyclic Hypergraphs with Fixed Diameter: 《Acta Mathematica Sinica,English Series》2022年第5期924-936,共13页Li Ying KANG Jing WANG Er Fang SHAN; Supported by the National Nature Science Foundation of China(Grant Nos.11871329,11971298)。; For 0≤α<1,theα-spectral radius of an r-uniform hypergraph G is the spectral radius of A_(α)(G)=αD(G)+(1-α)A(G),where D(G)and A(G)are the diagonal tensor of degrees and adjacency tensor of G,respectively.In this ...; 关键词：Unicyclic hypergraph α-spectral radius principal eigenvector DIAMETER pendant edge

Some ResuIts on the Principal Eigenvector被引量：1: 《Chinese Quarterly Journal of Mathematics》2020年第4期401-409,共9页WU Chun-jie; For a simple connected graph G, let A(G) and Q(G) be the adjacency matrix and signless Laplacian matrix, respectively of G. The principal eigenvector of A(G)(resp.Q(G)) is the unit positive eigenvector corresponding t...; 关键词：Signless Laplacian Principal eigenvector Independent set k-Regular Semiregular

Two Eigenvector Theorems: 《Advances in Linear Algebra & Matrix Theory》2016年第1期11-16,共6页Raghuram Prasad Dasaradhi V. V. Haragopal; In this paper, we established a connection between a square matrix “A” of order “n” and a matrix defined through a new approach of the recursion relation . (where is any column matrix with n real elements). Now ...; 关键词：Characteristic Equation Minimal Polynomial EIGENVALUES EIGENVECTORS Vander Monde Matrix Jacobi Block Matrix

Cross-correlation matrix analysis of Chinese and American bank stocks in subprime crisis: 《Chinese Physics B》2015年第5期634-638,共5页朱世钊李信利聂森张文轻余高峰韩筱璞汪秉宏; supported by the National Natural Science Foundation of China(Grant Nos.11275186,91024026,and FOM2014OF001);the University of Shanghai for Science and Technology(USST)of Humanities and Social Sciences,China(Grant Nos.USST13XSZ05 and 11YJA790231); In order to study the universality of the interactions among different markets, we analyze the cross-correlation matrix of the price of the Chinese and American bank stocks. We then find that the stock prices of the e...; 关键词：EIGENVECTOR stock price subprime crisis cross-correlation matrix

Application and Generalization of Eigenvalues Perturbation Bounds for Hermitian Block Tridiagonal Matrices: 《Journal of Applied Mathematics and Physics》2014年第3期60-70,共11页Jicheng Li Jing Wu Xu Kong; The paper contains two parts. First, by applying the results about the eigenvalue perturbation bounds for Hermitian block tridiagonal matrices in paper [1], we obtain a new efficient method to estimate the perturbatio...; 关键词：Singular Value Eigenvalue Perturbation HERMITIAN MATRIX BLOCK TRIDIAGONAL MATRIX EIGENVECTOR

Clustering in Wireless Multimedia Sensor Networks: 《Journal of Sensor Technology》2013年第4期126-132,共7页Pushpender Kumar Narottam Chand; Wireless Multimedia Sensor Networks (WMSNs) are comprised of small embedded audio/video motes capable of extracting the surrounding environmental information, locally processing it and then wirelessly transmitting it ...; 关键词：Wireless MULTIMEDIA Sensor Network CLUSTERING SPECTRAL GRAPH Partitioning EIGENVECTOR EIGENVALUE

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