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math.CO2025
The typical algebraic shifting of a surface
Denys Bulavka, Eran Nevo, Yuval Peled
We initiate a statistical study of Kalai's exterior algebraic shifting, focusing on concentration phenomena for random triangulations of a fixed space. First, for a uniform -ver…
math.CO2025
Strict Erdős-Ko-Rado theorems for simplicial complexes
Denys Bulavka, Russ Woodroofe
We show that if a simplicial complex is a near-cone of sufficiently high depth, then the only maximum families of small pairwise intersecting faces are those with a common intersec…