Graph spectrumEnergy (of graphLaplacian energy (of graphLet G be a graph with n vertices and m edges. Let λ 1, λ 2, … , λ n be the eigenvalues of the adjacency matrix of G, and let μ 1, μ 2, … , μ n be the eigenvalues of the Laplacian matrix of G. An earlier ...
1) Laplacian Matrix of a graph 图的拉普拉斯矩阵 例句>> 2) Laplacian matrix 拉普拉斯矩阵 1. Then the matrix L(G)=D(G)-A(G) is called theLaplacian matrixof a graph G. 设G=(V,E)是n阶简单连通图,D(G)和A(G)分别表示图G的度对角矩阵和邻接矩阵,则L(G)=D(G)-A(G)称为G的拉普拉斯...
In the note, we present an upper bound for the spectral radius of Laplacian matrix of a graph in terms of a “2-degree” of a vertex. LXD Zhang - 《Linear Algebra & Its Applications》 被引量: 442发表: 1998年 On the Laplacian Eigenvalues and Metric Parameters of Hypergraphs The aim of...
Eigenvalues of the Laplacian of a graph[J].Linear and Multilinear Algebra,1985.141-145.Anderson W N,Morley T D.Eigenvalues of the Laplacian of a graph.Linear and Multilinear Algebra. 1985Andeerson WL,Morley TD. Eigenvalues of the Laplacian of a graph[J].Linear and Multilinear Algebra,1985....
Summary: Let G be a graph. The Laplacian matrix $L(G)=D(G)-A(G)$ is the difference of the diagonal matrix of vertex degrees and the 0-1 adjacency matrix. Various aspects of the spectrum of L(G) are investigated. Particular attention is given to multiplicities of integer eigenvalues an...
The Real Time of Justin Tv_ Notes on The Senses of Live Broadcast on The Web 热度: App1.Math.J.ChineseUniv 2014,29(2):241—248 Somenotesonthespectralperturbationsofthesignless Laplacianofagraph YUGui—dong, CAIGai—xiang FANYi—zheng ...
2. The coefficients of the average Laplacian polynomial of a graph Before we give the main results of this section, we first introduce some concepts and known results about signed graphs we need. Let σ be a sign function on the edge set of graph G. A cycle in Gσ is said to be pos...
Koolen, M. Oboudi, On sum of powers of the Laplacian and signless Laplacian eigenvalues of graphs, Electron. J. Comb. 17 (2010) R115. Article MathSciNet MATH Google Scholar M. Aouchiche, P. Hansen, Two Laplacians for the distance matrix of a graph, Linear Algebra Appl. 439 (2013)...
Let G be a simple connected graph with n vertices and m edges. Denote the degree of vertex v i by d ( v i ). The matrix Q ( G ) = D ( G ) + A ( G ) is called the signless Laplacian of G, where D ( G ) = diag ( d ( v 1 ) , d ( v 2 ) , … , d ( v...
Define Laplacian. Laplacian synonyms, Laplacian pronunciation, Laplacian translation, English dictionary definition of Laplacian. n maths the operator ∂2/∂ x 2 + ∂2/∂ y 2 + ∂2/∂ z 2,. Symbol: ∇2 Also called: Laplacian Collins English