AbstractLet D(v) be the maximum number of pairwise disjoint Steiner triple systems of order v. We prove that D(3v)≥2v+D(v) for every v ≡ 1 or 3 (mod 6), v≥3. As a corollary, we have D(3n)=3n-2 for every n≥1
AbstractSuppose S is a Steiner triple-system on the n-element set X, i.e., for every pair of distinc...
AbstractA formula is found for the total number of distinct Steiner triple systems on 2n−1 points wh...
A formula is found for the total number of distinct Steiner triple systems on 2n−1 points whose 2-ra...
AbstractWe prove that D(2v + 1) ⩾ v + 1 + D(v) for v > 3 where D(v) denotes the maximum number of pa...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
AbstractLet D(v) be the maximum number of pairwise disjoint Steiner triple systems of order v. We pr...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
AbstractLet D(v) denote the maximum number of pairwise disjoint Stiner triple systems of order v. In...
Let D*(v) denote the maximum number of pairwise disjoint and isomorphic Steiner triple systems of or...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
Two Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and two disjo...
AbstractThe maximum number of pairwise disjoint transitive triple systems (TTSs) of order n is 3(n −...
AbstractWe prove that if (S1, β1) and (S2, β2) are two Steiner triple systems of order v and if S is...
Two Steiner triple systems (X,A) and (X,B) are said to intersect in m pairwise disjoint blocks if |A...
AbstractTwo Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and t...
AbstractSuppose S is a Steiner triple-system on the n-element set X, i.e., for every pair of distinc...
AbstractA formula is found for the total number of distinct Steiner triple systems on 2n−1 points wh...
A formula is found for the total number of distinct Steiner triple systems on 2n−1 points whose 2-ra...
AbstractWe prove that D(2v + 1) ⩾ v + 1 + D(v) for v > 3 where D(v) denotes the maximum number of pa...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
AbstractLet D(v) be the maximum number of pairwise disjoint Steiner triple systems of order v. We pr...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
AbstractLet D(v) denote the maximum number of pairwise disjoint Stiner triple systems of order v. In...
Let D*(v) denote the maximum number of pairwise disjoint and isomorphic Steiner triple systems of or...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
Two Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and two disjo...
AbstractThe maximum number of pairwise disjoint transitive triple systems (TTSs) of order n is 3(n −...
AbstractWe prove that if (S1, β1) and (S2, β2) are two Steiner triple systems of order v and if S is...
Two Steiner triple systems (X,A) and (X,B) are said to intersect in m pairwise disjoint blocks if |A...
AbstractTwo Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and t...
AbstractSuppose S is a Steiner triple-system on the n-element set X, i.e., for every pair of distinc...
AbstractA formula is found for the total number of distinct Steiner triple systems on 2n−1 points wh...
A formula is found for the total number of distinct Steiner triple systems on 2n−1 points whose 2-ra...