Add to ORKGWe introduce three types of directed triple systems. Two of these, Mendelsohn directed triple systems and Latin directed triple systems, have previously appeared in the literature but we prove further results about them. The third type, which we call skewed directed triple systems, is new and we determine the existence spectrum to be v ≡ 1 (mod 3), v ≠ 7, except possibly for v = 22, as well as giving enumeration results for small orders
AbstractEvery twofold triple system, or block design with k = 3 and λ = 2, is the underlying design ...
AbstractIt is well known that, given a Steiner triple system, a quasigroup can be formed by defining...
summary:It is well known that given a Steiner triple system one can define a quasigroup operation $\...
AbstractWe introduce a class of ordered triple systems which are both Mendelsohn triple systems and ...
AbstractWe introduce a class of ordered triple systems which are both Mendelsohn triple systems and ...
AbstractEvery twofold triple system, or block design with k = 3 and λ = 2, is the underlying design ...
AbstractA directed triple system of order v, DTS(v), is a pair (V,B) where V is a set of v elements ...
AbstractIn this paper, we determine the spectrum of support sizes of directed triple systems, for al...
AbstractA directed triple system of order v, DTS(v), is a pair (V,B) where V is a set of v elements ...
AbstractFor three types of triples, unordered, cyclic and transitive, the corresponding extended tri...
AbstractIn this note, a construction of the large sets of pairwise disjoint Mendelsohn triple system...
AbstractDirect, easy, and self-contained proofs are presented of the existence of triple systems wit...
AbstractLet {n;b2,b1} denote the class of extended directed triple systems of the order n in which t...
AbstractFor three types of triples: unordered, cyclic and transitive, the corresponding extended tri...
AbstractFor three types of triples: unordered, cyclic and transitive, the corresponding extended tri...
AbstractEvery twofold triple system, or block design with k = 3 and λ = 2, is the underlying design ...
AbstractIt is well known that, given a Steiner triple system, a quasigroup can be formed by defining...
summary:It is well known that given a Steiner triple system one can define a quasigroup operation $\...
AbstractWe introduce a class of ordered triple systems which are both Mendelsohn triple systems and ...
AbstractWe introduce a class of ordered triple systems which are both Mendelsohn triple systems and ...
AbstractEvery twofold triple system, or block design with k = 3 and λ = 2, is the underlying design ...
AbstractA directed triple system of order v, DTS(v), is a pair (V,B) where V is a set of v elements ...
AbstractIn this paper, we determine the spectrum of support sizes of directed triple systems, for al...
AbstractA directed triple system of order v, DTS(v), is a pair (V,B) where V is a set of v elements ...
AbstractFor three types of triples, unordered, cyclic and transitive, the corresponding extended tri...
AbstractIn this note, a construction of the large sets of pairwise disjoint Mendelsohn triple system...
AbstractDirect, easy, and self-contained proofs are presented of the existence of triple systems wit...
AbstractLet {n;b2,b1} denote the class of extended directed triple systems of the order n in which t...
AbstractFor three types of triples: unordered, cyclic and transitive, the corresponding extended tri...
AbstractFor three types of triples: unordered, cyclic and transitive, the corresponding extended tri...
AbstractEvery twofold triple system, or block design with k = 3 and λ = 2, is the underlying design ...
AbstractIt is well known that, given a Steiner triple system, a quasigroup can be formed by defining...
summary:It is well known that given a Steiner triple system one can define a quasigroup operation $\...