6 citations · 6 across the 2 of their papers we have counts for
3 papers
math.CO2018
Schur reduction of trees and extremal entries of the Fiedler vector
Hannes Gernandt, Jan Philipp Pade
We study the eigenvectors of Laplacian matrices of trees. The Laplacian matrix is reduced to a tridiagonal matrix using the Schur complement. This preserves the eigenvectors and al…
math.DS2017
The Effects of Structural Perturbations on the Synchronizability of Diffusive Networks
Jan Philipp Pade, Camille Poignard, Tiago Pereira
We investigate the effects of structural perturbations of both, undirected and directed diffusive networks on their ability to synchronize. We establish a classification of directe…
math.DS2015★ 6 cited
The dynamical impact of a shortcut in unidirectionally coupled rings of oscillators
Jan Philipp Pade, Leonhard Lücken, Serhiy Yanchuk
We study the destabilization mechanism in a unidirectional ring of identical oscillators, perturbed by the introduction of a long-range connection. It is known that for a homogeneo…