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math.MG2015
A Geometric Lower Bound Theorem
Karim Adiprasito, Eran Nevo, José Alejandro Samper
We resolve a conjecture of Kalai relating approximation theory of convex bodies by simplicial polytopes to the face numbers and primitive Betti numbers of these polytopes and their…
math.CO2015
Higher chordality: From graphs to complexes
Karim A. Adiprasito, Eran Nevo, Jose A. Samper
We generalize the fundamental graph-theoretic notion of chordality for higher dimensional simplicial complexes by putting it into a proper context within homology theory. We genera…