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New lower bound for the minimal number of edges of simple uniform hypergraph without the property Bk

  • Yury A. Demidovich EMAIL logo
Published/Copyright: June 15, 2022

Abstract

A hypergraph H = (V, E) has the property Bk if there exists an assignment of two colors to V such that each edge contains at least k vertices of each color. A hypergraph is called simple if every two edges of it have at most one common vertex. We obtain a new lower bound for the minimal number of edges of n-uniform simple hypergraph without the property Bk.


Originally published in Diskretnaya Matematika (2020) 32, №4, 10–37 (in Russian).


  1. Funding: The reported study was funded by RFBR, project number 19-31-90016.

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Received: 2020-11-24
Published Online: 2022-06-15
Published in Print: 2022-06-27

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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