AbstractFor three types of triples: unordered, cyclic and transitive, the corresponding extended triple, extended triple system and their large sets are introduced. The existence of LESTS(υ) and LEMTS(υ) were completely solved. In this paper, we shall discuss the existence problem of LEDTS(υ) and give the following conclusion: there exists an LEDTS(υ) for any even υ except υ=4. The existence of LEDTS(υ) with odd order υ will be discussed in another paper, we are working at it
AbstractIn this paper, we give a recursive construction from an LTTS(v + 2) to an LTTS(16v + 2) for ...
AbstractThe determination of the existence of large sets of Kirkman triple systems (LKTS) is a class...
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...
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...
AbstractIn this paper, we first give a method to construct large sets of resolvable Mendelsohn tripl...
AbstractWe introduce a class of ordered triple systems which are both Mendelsohn triple systems and ...
AbstractLet {n;b2,b1} denote the class of extended directed triple systems of the order n in which t...
Let {v; b2, b1} denote the class of extended directed triple systems of the order v in which the num...
AbstractAn extended cyclic triple system is a pair (S, W) where S is a finite set and W is a collect...
AbstractThe maximum number of pairwise disjoint transitive triple systems (TTSs) of order n is 3(n −...
We introduce three types of directed triple systems. Two of these, Mendelsohn directed triple system...
AbstractWe first define a transitive resolvable idempotent quasigroup (TRIQ), and show that a TRIQ o...
AbstractWe first define a transitive resolvable idempotent quasigroup (TRIQ), and show that a TRIQ o...
AbstractIn this paper, we give a recursive construction from an LTTS(v + 2) to an LTTS(16v + 2) for ...
AbstractThe determination of the existence of large sets of Kirkman triple systems (LKTS) is a class...
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...
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...
AbstractIn this paper, we first give a method to construct large sets of resolvable Mendelsohn tripl...
AbstractWe introduce a class of ordered triple systems which are both Mendelsohn triple systems and ...
AbstractLet {n;b2,b1} denote the class of extended directed triple systems of the order n in which t...
Let {v; b2, b1} denote the class of extended directed triple systems of the order v in which the num...
AbstractAn extended cyclic triple system is a pair (S, W) where S is a finite set and W is a collect...
AbstractThe maximum number of pairwise disjoint transitive triple systems (TTSs) of order n is 3(n −...
We introduce three types of directed triple systems. Two of these, Mendelsohn directed triple system...
AbstractWe first define a transitive resolvable idempotent quasigroup (TRIQ), and show that a TRIQ o...
AbstractWe first define a transitive resolvable idempotent quasigroup (TRIQ), and show that a TRIQ o...
AbstractIn this paper, we give a recursive construction from an LTTS(v + 2) to an LTTS(16v + 2) for ...
AbstractThe determination of the existence of large sets of Kirkman triple systems (LKTS) is a class...
AbstractA directed triple system of order v, DTS(v), is a pair (V,B) where V is a set of v elements ...