36 citations · 142 across the 19 of their papers we have counts for
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math.CO2020★ 13 cited
Spectral preorder and perturbations of discrete weighted graphs
John Stewart Fabila-Carrasco, Fernando Lledó, Olaf Post
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 ex…
math.CO2017★ 20 cited
Spectral gaps and discrete magnetic Laplacians
John Stewart Fabila-Carrasco, Fernando Lledó, Olaf Post
The aim of this article is to give a simple geometric condition that guarantees the existence of spectral gaps of the discrete Laplacian on periodic graphs. For proving this, we an…