Transitive resolvable idempotent quasigroups and large sets of resolvable Mendelsohn triple systems

Recursive constructions for large sets of resolvable hybrid triple systems

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.

More large sets of resolvable MTS and resolvable DTS with odd orders

In this paper, we first give a method to construct large sets of resolvableMendelsohn triple systems of order q+2, where q=6t+1 is a prime power. Then, using a computer, we find solutions for t ∈ T ={35, 38, 46, 47, 48, 51, 56, 60}. Furthermore, by amethodwe introduced, large sets of resolvable directed triple systems with the same orders are obtained too. Finally, by the tripling construction ...

The existence of resolvable Mendelsohn designs RMD({3, s*}, v)

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...