Maximum embedding of an E2(v - W, 4,1) into an H(v, 4, λ)

Abstract

A hancuffed design H(v, 4, A) of order v and index A embeds an E2-design E2(u,4,1) on u points, u ≤ v, if there is a subset of tt points on which the handcuffed paths with 3 edges induce the blocks of an E2-design. In this paper we determine, for every pair of positive integers v, λ, the minimum value of tu such that there exists an H(v, 4, A) which embeds an E2(v- w, 4,1).