Publications [#368952] of Sayan Mukherjee

Papers Published

1. Liu, X; Mukherjee, S, Stability theorems for some Kruskal–Katona type results, European Journal of Combinatorics, vol. 110 (May, 2023) [doi]
   (last updated on 2024/11/20)

   Abstract:
   The classical Kruskal–Katona theorem gives a tight upper bound for the size of an r-uniform hypergraph H as a function of the size of its shadow. Its stability version was obtained by Keevash who proved that if the size of H is close to the maximum with respect to the size of its shadow, then H is structurally close to a complete r-uniform hypergraph. We prove similar stability results for two classes of hypergraphs whose extremal properties have been investigated by many researchers: the cancellative hypergraphs and hypergraphs without expansion of cliques.