Add to ORKGAbstract. In this paper, we consider the Laplacian Operator on graphs, along with its eigenvectors and eigenvalues. After establishing preliminaries, we give eigenvector expansions for solutions of Electrical Network Boundary Value Problems. We then state some results for the nodal domains of our eigenvec
We apply eigenvalue interlacing techniques for obtaining lower and upper bounds for the sums of Lapl...
International audienceIn this paper, we prove a variant of the Burger-Brooks transfer principle whic...
We apply eigenvalue interlacing techniques for obtaining lower and upper bounds for the sums of lapl...
Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus...
Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus...
Calculating nodal voltages and branch current flows in a meshed network is fundamental to electrical...
We consider the nonlinear graph $p$-Laplacian and its set of eigenvalues and associated eigenfunctio...
Eigenvectors of the Laplacian of a graph G have received increasing attention in the recent past. He...
The nodal domains of eigenvectors of the discrete Schrödinger operator on simple, finite and connect...
Like the adjacency, incidence matrix and other matrices associated with graphs, the Laplacian matrix...
Abstract—The spectrum of the Laplacian matrix of a network plays a key role in a wide range of dynam...
The graph Laplacian, a typical representation of a network, is an important matrix that can tell us ...
We initiate a systematic study of eigenvectors of random graphs. Whereas much is known about eigenva...
In this paper, we are concerned with upper bounds of eigenvalues of Laplace operator on compact Riem...
We derive bounds for eigenvalues of the Laplacian of graphs using the discrete versions of the Sobol...
We apply eigenvalue interlacing techniques for obtaining lower and upper bounds for the sums of Lapl...
International audienceIn this paper, we prove a variant of the Burger-Brooks transfer principle whic...
We apply eigenvalue interlacing techniques for obtaining lower and upper bounds for the sums of lapl...
Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus...
Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus...
Calculating nodal voltages and branch current flows in a meshed network is fundamental to electrical...
We consider the nonlinear graph $p$-Laplacian and its set of eigenvalues and associated eigenfunctio...
Eigenvectors of the Laplacian of a graph G have received increasing attention in the recent past. He...
The nodal domains of eigenvectors of the discrete Schrödinger operator on simple, finite and connect...
Like the adjacency, incidence matrix and other matrices associated with graphs, the Laplacian matrix...
Abstract—The spectrum of the Laplacian matrix of a network plays a key role in a wide range of dynam...
The graph Laplacian, a typical representation of a network, is an important matrix that can tell us ...
We initiate a systematic study of eigenvectors of random graphs. Whereas much is known about eigenva...
In this paper, we are concerned with upper bounds of eigenvalues of Laplace operator on compact Riem...
We derive bounds for eigenvalues of the Laplacian of graphs using the discrete versions of the Sobol...
We apply eigenvalue interlacing techniques for obtaining lower and upper bounds for the sums of Lapl...
International audienceIn this paper, we prove a variant of the Burger-Brooks transfer principle whic...
We apply eigenvalue interlacing techniques for obtaining lower and upper bounds for the sums of lapl...