A. Kaveh, B. Alinejad, "Laplacian matrices of product graphs: applications in structural mechanics", Acta Mechanica, 222, 331-350, 2011.A. Kaveh, B. Alinejad: Laplacian matrices of product graphs : Applications in struc- tural mechanics. Acta Mech. Sin., 222 (3-4) (2011), 331-350....
rooted productgeneralized Bethe treenormalized Laplacian spectrumLet [Formula: see text] be a simple graph with [Formula: see text] vertices and [Formula: see text] be a sequence of [Formula: see text] rooted graphs [Formula: see text]. The rooted product [Formula: see text], of [...
subtract the component of the vector that is parallel to the eigenvector of the largest eigenvalue. In the case of the adjacency matrix of a regular graph, subtract from every coordinate
Dot product weighing (46)W(i,j)={(xiTxj)If nodesiandjare connected inG0otherwise Matrix W captures the similarity structure of the data at local level. A diagonal matrix M is obtained where the diagonal entries of M correspond to the row sum of W. Using M and W graphs, the Laplacian...
We investigate the multiplicity of solutions for problems involving the fractional N-Laplacian. We obtain three theorems depending on the source terms in which the nonlinearities cross some eigenvalues. We obtain these results by direct computations with
One of their examples was the Laplacian subalgebra of the free group factor, known to be a singularMASA. Using the techniques presented by A. Sinclair and R.Smith, we show that the Laplacian subalgebra of the k-folded tensor product of the free group factor with itself is a strongly ...
The aim of this paper is to revisit the definition of differential operators on hypergraphs, which are a natural extension of graphs in systems based on in
当当中国进口图书旗舰店在线销售正版《【预订】Eigenfunctions of the Laplacian on a Riemannian Manifold 9781470410377》。最新《【预订】Eigenfunctions of the Laplacian on a Riemannian Manifold 9781470410377》简介、书评、试读、价格、图片等相关信息,尽在DangDa
If A=[aij] is a m×n matrix and B=[bij] is a p×q matrix, then the Tensor product of A and B, denoted by A⊗B, is the mp×nq matrix defined as follows: (1)[a11Ba12B⋯a1nBa21Ba22B⋯a2nB⋮⋮⋱⋮am1Bam2B⋯amnB]. Numerous applications of Tensor products in ...
In this paper, we deal with the existence and multiplicity of periodic solutions for the p(t)-Laplacian Hamiltonian system. Some new existence theorems are obtained by using the least action principle and minmax methods in critical point theory, and our