Packing Graphs: The packing problem solved

Abstract For every fixed graph H, we determine the H-packing number of Kn, for all n > n0(H). We prove that if h is the number of edges of H, and gcd(H) = d is the greatest common divisor of the degrees of H, then there exists n0 = n0(H), such that for all n > n0, P (H, Kn) = b 2h b n − 1 d cc, unless n = 1 mod d and n(n − 1)/d = b mod (2h/d) where 1 ≤ b ≤ d, in which case P (H, Kn) = b 2h b n − 1 d cc − 1.