3 papers
math.CO2017
Two results about the hypercube
Jozsef Balogh, Tamas Meszaros, Adam Zsolt Wagner
First we consider families in the hypercube with bounded VC dimension. Frankl raised the problem of estimating the number of maximal families of VC dimension . Al…
math.CO2017
Turán numbers for Berge-hypergraphs and related extremal problems
Cory Palmer, Michael Tait, Craig Timmons +1
Let be a graph. We say that a hypergraph is a {\it Berge}- if there is a bijection such that for every . Note…
math.CO2013
Cops and Robbers on diameter two graphs
Zsolt Adam Wagner
In this short paper we study the game of Cops and Robbers, played on the vertices of some fixed graph of order . The minimum number of cops required to capture a robber is c…