A DTS(nu) is called pure and denoted by PDTS(nu) if (x, y, z) is an element of beta implies (z, y, x) is not an element of beta. A large set of disjoint PDTS(nu) ...

Feb 6, 2016 · An L P H T S ( v ) is a collection of 4 ( v − 2 ) disjoint pure Hybrid triple systems on the same set of v elements.

If an contains exactly converse hexads of ⁎, it is called a self-converse large set of pure directed triple systems of order v and denoted by ⁎.

The existence for large sets of disjoint pure directed triple systems with even orders. Article. Jul 2009. Zihong Tian. A directed triple system of order ...

For three types of triples: unordered, cyclic and transitive, the corresponding extended triple, extended triple system and their large sets are introduced.

By Lemma 2.7, 21 disjoint block sets of the transitive triples exist, in which there are 3 PDTS(9, 3)s and 18 PDTS(9)s, thus an LPDTS(9,3) exists. Theorem ...

Abstract A directed triple system of order v, denoted by DTS(v, λ), is a pair (X, B) where X is a v- set and B is a collection of transitive triples on X ...

Zihong Tian, "The existence for large sets of disjoint pure directed triple systems with even orders"; Alain C. Vandal, Marston D.E. Conder and Robert ...

The existence spectrum for overlarge sets of pure directed triple systems ... Large sets of extended directed triple systems with even orders.

In this paper we prove that there exists a large set of directed triple systems of order v and index λ (or briefly LDTS ( v , λ )) if and only if either λ ...