Cardinality of a minimal forbidden graph family for reducible additive hereditary graph properties
Ewa Drgas-Burchardt (2009)
Discussiones Mathematicae Graph Theory
Similarity:
An additive hereditary graph property is any class of simple graphs, which is closed under isomorphisms unions and taking subgraphs. Let denote a class of all such properties. In the paper, we consider H-reducible over properties with H being a fixed graph. The finiteness of the sets of all minimal forbidden graphs is analyzed for such properties.