Minimal homogeneous Steiner 2-image trades Original Research Article

A Steiner 2-image trade is a pair image of disjoint partial Steiner triple systems, each on the same set of image points, such that each pair of points occurs in image if and only if it occurs in image. A Steiner 2-image trade is called d-homogeneous if each point occurs in exactly d blocks of image (or image). In this paper we construct minimal d-homogeneous Steiner 2-image trades of foundation image and volume image for sufficiently large values of image. (Specifically, image if image is divisible by 3 and image otherwise.)