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math.CO2012★ 3 cited
When does the top homology of a random simplicial complex vanish?
L. Aronshtam, N. Linial
Several years ago Linial and Meshulam introduced a model called X_d(n,p) of random n-vertex d-dimensional simplicial complexes. The following question suggests itself very naturall…
math.CO2010★ 11 cited
Collapsibility and vanishing of top homology in random simplicial complexes
L. Aronshtam, N. Linial, T. Luczak +1
Let Y be a random d-dimensional subcomplex of the (n-1)-dimensional simplex S obtained by starting with the full (d-1)-dimensional skeleton of S and then adding each d-simplex inde…