New large sets of resolvable Mendelsohn triple systems

Further results about large sets of disjoint Mendelsohn triple systems

Kang, Q. and Y. Chang, Further results about large sets of disjoint Mendelsohn triple systems, Discrete Mathematics 118 (I 993) 2633268. In this note, a construction of the large sets of pairwise disjoint Mendelsohn triple systems of order 72k + 6, where k > 1 and k F 1 or 2 (mod 3), is given. Let X be a set of v elements (v 2 3). A cyclic triple from X is a collection of three pairs (x, y), (y...

Recursive constructions for large sets of resolvable hybrid triple systems

Mendelsohn directed triple systems

We introduce a class of ordered triple systems which are both Mendelsohn triple systems and directed triple systems. We call these Mendelsohn directed triple systems (MDTS(v, λ)), characterise them, and prove that they exist if and only if λ(v−1) ≡ 0 (mod 3). This is the same spectrum as that of regular directed triple systems, of which they are a special case. We also prove that cyclic MDTS(v,...

Large sets of disjoint directed and Mendelsohn packing triple systems on 6k+5 points

Another Product Construction for Large Sets of Resolvable Directed Triple Systems

A large set of resolvable directed triple systems of order v, denoted by LRDTS(v), is a collection of 3(v − 2) RDTS(v)s based on v-set X, such that every transitive triple of X occurs as a block in exactly one of the 3(v − 2) RDTS(v)s. In this paper, we use DTRIQ and LR-design to present a new product construction for LRDTS(v)s. This provides some new infinite families of LRDTS(v)s.