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math.CO2005
Edge Expansion of Cubical Complexes
Thomas Voigt
In this paper we show that graphs of "neighbourly" cubical complexes -- cubical complexes in which every pair of vertices spans a (unique) cube -- have good expansion properties, u…
math.CO2003
Singular 0/1-matrices, and the hyperplanes spanned by random 0/1-vectors
Thomas Voigt, Günter M. Ziegler
Let be the probability that a random 0/1-matrix of size is singular, and let be the expected number of 0/1-vectors in the linear subspace spanned by d-1…