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math.AT2010★ 6 cited
Topology of random 2-complexes
Armindo Costa, Michael Farber, Thomas Kappeler
We study the Linial--Meshulam model of random two-dimensional simplicial complexes. One of our main results states that for a random 2-complex collapses simplicia…
math.AT2010★ 7 cited
The homotopical dimension of random 2-complexes
Daniel C. Cohen, Michael Farber, Thomas Kappeler
In this paper we study the Linial-Meshulam model of random two-dimensional complexes. We prove that a random 2-complex is homotopically one dimensional, with probability tending to…