4 citations · 5 across the 2 of their papers we have counts for
2 papers
math.SP2008★ 4 cited
Geometric and spectral properties of locally tessellating planar graphs
Matthias Keller, Norbert Peyerimhoff
In this article, we derive bounds for values of the global geometry of locally tessellating planar graphs, namely, the Cheeger constant and exponential growth, in terms of combinat…
math-ph2008★ 1 cited
The essential spectrum of the Laplacian on rapidly branching tessellations
Matthias Keller
In this paper we characterize emptiness of the essential spectrum of the Laplacian under a hyperbolicity assumption for general graphs. Moreover we present a characterization for e…