The balanced upper chromatic number of linear hypergraphs and the $n$-cube over $t$ elements

Gabriela Araujo-Pardo, Silvia Fernández-Merchant, Adriana Hansberg +3

A coloring of the vertices of a hypergraph is called \emph{balanced} if the sizes of the color classes differ by at most one. We say that a hyperedge is \emph{rainbow} if its eleme…