Spectral preorder and perturbations of discrete weighted graphs
In this article, we introduce a geometric and a spectral preorder relation on the class of
weighted graphs with a magnetic potential. The first preorder is expressed through the …
weighted graphs with a magnetic potential. The first preorder is expressed through the …
Matching number, Hamiltonian graphs and magnetic Laplacian matrices
In this article, we relate the spectrum of the discrete magnetic Laplacian (DML) on a finite
simple graph with two structural properties of the graph: the existence of a perfect matching …
simple graph with two structural properties of the graph: the existence of a perfect matching …