114 citations · 220 across the 9 of their papers we have counts for
4 papers · 1 filter
On the spectrum of Laplacians on graphs
Frank Bauer, Bobo Hua, Matthias Keller
We study the -independence of spectra of Laplace operators on graphs arising from regular Dirichlet forms on discrete spaces. Here, a sufficient criterion is given solely by a u…
Cheeger inequalities for unbounded graph Laplacians
Frank Bauer, Matthias Keller, Radosław K. Wojciechowski
We use the concept of intrinsic metrics to give a new definition for an isoperimetric constant of a graph. We use this novel isoperimetric constant to prove a Cheeger-type estimate…
The dual Cheeger constant and spectra of infinite graphs
Frank Bauer, Bobo Hua, Juergen Jost
In this article we study the top of the spectrum of the normalized Laplace operator on infinite graphs. We introduce the dual Cheeger constant and show that it controls the top of…
Identifying influential spreaders and efficiently estimating infection numbers in epidemic models: a walk counting approach
Frank Bauer, Joseph T. Lizier
We introduce a new method to efficiently approximate the number of infections resulting from a given initially-infected node in a network of susceptible individuals. Our approach i…