114 citations · 220 across the 9 of their papers we have counts for
3 papers · 2 filters
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…