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...
AbstractTwo Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and t...
AbstractFor some time it has been known that for prime powers pk = 1 + 3 · 2st there exists a pair o...
AbstractLet D(v) be the maximum number of pairwise disjoint Steiner triple systems of order v. We pr...
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) denote the maximum number of pairwise disjoint Stiner triple systems of order v. In...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
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...
AbstractWe prove that if (S1, β1) and (S2, β2) are two Steiner triple systems of order v and if S is...
AbstractA set of n − 2 disjoint Steiner triple systems on n objects is constructed whenever n has th...
AbstractIn a previous paper (J. Combin. Theory Ser. A 34 (1983), 156–182), to construct large sets o...
Two Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and two disjo...
A transitive triple is a collection of three ordered pairs of the form {(a, b), (b, c), (a, c)}, whe...
AbstractSuppose S is a Steiner triple-system on the n-element set X, i.e., for every pair of distinc...
AbstractTwo Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and t...
AbstractFor some time it has been known that for prime powers pk = 1 + 3 · 2st there exists a pair o...
AbstractLet D(v) be the maximum number of pairwise disjoint Steiner triple systems of order v. We pr...
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) denote the maximum number of pairwise disjoint Stiner triple systems of order v. In...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
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...
AbstractWe prove that if (S1, β1) and (S2, β2) are two Steiner triple systems of order v and if S is...
AbstractA set of n − 2 disjoint Steiner triple systems on n objects is constructed whenever n has th...
AbstractIn a previous paper (J. Combin. Theory Ser. A 34 (1983), 156–182), to construct large sets o...
Two Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and two disjo...
A transitive triple is a collection of three ordered pairs of the form {(a, b), (b, c), (a, c)}, whe...
AbstractSuppose S is a Steiner triple-system on the n-element set X, i.e., for every pair of distinc...
AbstractTwo Steiner triple systems (STS) are orthogonal if their sets of triples are disjoint, and t...
AbstractFor some time it has been known that for prime powers pk = 1 + 3 · 2st there exists a pair o...
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