Hereditary classes of graphs: A parametric approach

The world of hereditary classes is rich and diverse it contains a variety theoretical practical importance. Thousands results in the literature are devoted to individual only few them analyse universe as whole. To shift analysis into new level, present paper we exploit an approach, where operate by infinite families classes, rather than classes. Each family associated with graph parameter characterized that critical respect parameter. In particular, obtain complete parametric description bottom lattice discuss number open questions related this approach.