The largest eigenvalue of the Laplacian matrix of G is denoted by μ(G). Suppose the degree sequence of G is d1⩾d2⩾⋯⩾dn. In this paper, we present a sharp upper bound of μ(G)μ(G)⩽dn+12+dn−122+∑i=1ndi(di−dn),the equality holds if and only if G is a...
Laplacian eigenvalue Tree Pendant vertex 1. Introduction Let G be a graph with vertex set {v1,v2,…,vn}. The spectral radius of G, ρ(G), is the largest eigenvalue of its adjacency matrix A(G). A(G)=(aij) is defined to be the n×n matrix (aij), where aij=1 if vi is adj...
Laplacian matrixAdjacency matrixLargest eigenvalueLet T be a tree with vertex set V . Let d v denotes the degree of v ?ce:hsp sp="0.25"/> V . Let Δ = max{ d v : v ?ce:hsp sp="0.25"/> V }. Let u ?ce:hsp sp="0.25"/> V such that d u = Δ . Let k = e u + ...
1.We prove thatμ1(T) < max1 andλ1 (T) < max1, whereμ1(T) andλ1(T) are the largest eigenvalue of the Laplacian matrix and the adjacency matrix of T.设δj′= max{dυ:dist(υ,w)=j},j=1,2,…,k-2,我们证明和这里μ1(T)和λ1(T)分别是T的Laplacian矩阵和邻接矩阵的最大...
14.The Second Largest Eigenvalue of Laplacian Matrix of Tree;树的Laplacian矩阵的第二大特征值 15.Estimate for the Upper Bound of Second Eigenvalue of a Certain Differential Systems;某类微分系统第二特征值的上界估计 16.Each eigenstate of an observable corresponds to an eigenvector of the operator,...
and 2 (LG (x)) denotes the second smallest eigenvalue of the statedependent Laplacian matrix LG (x) with its spectrum ordered as 1 (LG ) 2 (LG ) 1 1 1 n (LG ): Furthermore, we restrict the feasible set of (2) by imposing the proximity constraint dij := kxi 0...
Distance matrixdistance signless Laplacian matrixsmallest eigenvalueDenote by (resp. ) the distance (resp. distance signless Laplacian) eigenvalues of a connected graph G on n vertices, and by (resp. ) the multiplicity of (resp. ). In this paper, we completely determine the graphs with and ...
1. 拉普拉斯特征值 正规拉普拉斯矩阵特征值,Normalized... ... ) Laplacian eigenvalue 拉普拉斯特征值 ) Laplacian matrix 拉普拉斯矩阵 ... www.dictall.com|基于1 个网页 例句 释义: 全部,拉普拉斯特征值 更多例句筛选 1. The Upper Bounds for the Largest Laplacian Eigenvalue of Graphs 图的最大拉普拉斯特...
In this paper we characterize the unique graph whose least eigenvalue of the signless Laplacian attains the minimum among all graphs in Tnc⧹{K1,n-1c}, where K1,n-1c is the complement of the star graph on n vertices.关键词: Tree Complement Signless Laplacian matrix Least eigenvalue ...
6.On the Laplacian Eigenvalues and Eigenvectors of Non-regular Graphs;非正则图的Laplacian特征值与特征向量 7.A New Method of Matrix Eigenvalue and Eigenvector求矩阵的特征值与特征向量的新方法 8.Matrix Computational Methods矩阵特征值计算方法 9.Each eigenstate of an observable corresponds to an eigenve...