84 citations · 354 across the 25 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.SP2016
A nodal domain theorem and a higher-order Cheeger inequality for the graph -Laplacian
Francesco Tudisco, Matthias Hein
We consider the nonlinear graph -Laplacian and its set of eigenvalues and associated eigenfunctions of this operator defined by a variational principle. We prove a nodal domain…
math.SP2016
Localization of dominant eigenpairs and planted communities by means of Frobenius inner products
Dario Fasino, Francesco Tudisco
We propose a new localization result for the leading eigenvalue and eigenvector of a symmetric matrix . The result exploits the Frobenius inner product between and a given r…
math.SP2016
Modularity bounds for clusters located by leading eigenvectors of the normalized modularity matrix
Dario Fasino, Francesco Tudisco
Nodal theorems for generalized modularity matrices ensure that the cluster located by the positive entries of the leading eigenvector of various modularity matrices induces a conne…