34 citations · 72 across the 23 of their papers we have counts for
Showing 2006Show all
2 papers · 1 filter
math.CO2006★ 13 cited
Homological connectivity of random k-dimensional complexes
R. Meshulam, N. Wallach
Let Delta_{n-1} denote the (n-1)-dimensional simplex. Let Y be a random k-dimensional subcomplex of Delta_{n-1} obtained by starting with the full (k-1)-dimensional skeleton of Del…
math.CO2006
Intersections of Leray complexes and regularity of monomial ideals
Gil Kalai, Roy Meshulam
For a simplicial complex X and a field K, let h_i(X)=\dim \tilde{H}_i(X;K). It is shown that if X,Y are complexes on the same vertex set, then for all k h_{k-1}(X\cap Y) \leq \sum_…