87 citations · 193 across the 17 of their papers we have counts for
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math.CO2012★ 87 cited
Simplicial complexes: spectrum, homology and random walks
Ori Parzanchevski, Ron Rosenthal
Random walks on a graph reflect many of its topological and spectral properties, such as connectedness, bipartiteness and spectral gap magnitude. In the first part of this paper we…
math.CO2012★ 40 cited
Isoperimetric Inequalities in Simplicial Complexes
Ori Parzanchevski, Ron Rosenthal, Ran J. Tessler
In graph theory there are intimate connections between the expansion properties of a graph and the spectrum of its Laplacian. In this paper we define a notion of combinatorial expa…