Zoltán Füredi (Renyi Institute): Shadow of 3-uniform hypergraphs under a minimum degree condition

Abstract: We prove a minimum degree version of the Kruskal-Katona theorem for
triple systems. Given  d> 1/4  and a triple system on  n  vertices with minimum
degree $d{n\choose 2}$, we obtain asymptotically tight lower bounds for the
size of its shadow.
A joint work with Yi Zhao (Georgia State University).

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