46 citations · 133 across the 42 of their papers we have counts for
5 papers · 1 filter
On a magneto-spectral invariant on finite graphs
Chunyang Hu, Bobo Hua, Supanat Kamtue +3
In this paper, we introduce a magneto-spectral invariant for finite graphs. This invariant vanishes on trees and is maximized by complete graphs. We compute this invariant for cycl…
Spectral gap of the largest eigenvalue of the normalized graph Laplacian
Jürgen Jost, Raffaella Mulas, Florentin Münch
We offer a new method for proving that the maximal eigenvalue of the normalized graph Laplacian of a graph with vertices is at least provided the graph is not…
Magnetic sparseness and Schrödinger operators on graphs
Michel Bonnefont, Sylvain Golénia, Matthias Keller +2
We study magnetic Schrödinger operators on graphs. We extend the notion of sparseness of graphs by including a magnetic quantity called the frustration index. This notion of magnet…
Curvature and higher order Buser inequalities for the graph connection Laplacian
Shiping Liu, Florentin Münch, Norbert Peyerimhoff
We study the eigenvalues of the connection Laplacian on a graph with an orthogonal group or unitary group signature. We establish higher order Buser type inequalities, i.e., we pro…
Geometry and spectrum of rapidly branching graphs
Matthias Keller, Felix Pogorzelski, Florentin Münch
We study graphs whose vertex degree tends and which are, therefore, called rapidly branching. We prove spectral estimates, discreteness of spectrum, first order eigenvalue and Weyl…