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math.CO2014★ 6 cited
Mixing properties and the chromatic number of Ramanujan complexes
Shai Evra, Konstantin Golubev, Alexander Lubotzky
Ramanujan complexes are high dimensional simplical complexes generalizing Ramanujan graphs. A result of Oh on quantitative property (T) for Lie groups over local fields is used to…
math.CO2014★ 6 cited
Spectrum and combinatorics of two-dimensional Ramanujan complexes
Konstantin Golubev, Ori Parzanchevski
Ramanujan graphs have extremal spectral properties, which imply a remarkable combinatorial behavior. In this paper we compute the high dimensional Hodge-Laplace spectrum of Ramanuj…