Enumeration of packed graphs

Abstract Let |G| be the number of vertices of a graph G, let ω(G) be the density of G, and K(G) be the clique graph of G. A graph G is called a (p, n)-packed graph if |G| = p, ω(G) = p− n and |K(G)| = 2n. We obtain the number of non-isomorphic (p, n)-packed graphs.