Author/Authors :
Lorenzo Milazzo، نويسنده , , Zsolt Tuza، نويسنده , , Vitaly Voloshin، نويسنده ,
Abstract :
The paper surveys problems, results and methods concerning the coloring of Steiner triple and quadruple systems viewed as mixed hypergraphs. In this setting, two types of conditions are considered: each block of the Steiner system in question has to contain (i) a monochromatic pair of vertices, or, more, restrictively, (ii) a triple of vertices that meets precisely two color classes.