AbstractIn this paper, we determine the spectrum for indecomposable S6(2, 3, υ)'s, and we prove the existence of MPT-free S6(2, 3, υ) for all υ ⩾ 9 and υ = 7
AbstractA partial triple system of order v, PT(v), is pair (V, B) where V is a v-set, and B is a col...
AbstractIn this paper we present some new construction of 3-chromatic STS(v) by means of MTP(w)
AbstractA triple system TS(υ,λ) is a collection of 3-element subsets (=blocks) of a v-element set X ...
AbstractIn this paper, we determine the spectrum for indecomposable S6(2, 3, υ)'s, and we prove the ...
AbstractDenote R(v) be the set of k such that there is a S3(2, 3, v) having exactly k three-times re...
AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of tr...
AbstractA general construction of 2 − (v, 3, 2) designs (twofold triple systems) is used to produce ...
Lu [6, 7, 8] proved that large sets of disjointS(2, 3, v) exist for allv ≡ 1 or 3 (mod 6),v ≠ 7. How...
AbstractLet v and λ be positive integers. A Mendelsohn triple system MTS(v, λ) is a pair (X, B), whe...
AbstractWe prove that there exists an Sλ(2, 3, v) without repeated blocks if and only if λ⩽v−2, λυ(υ...
AbstractA triple system (v, 3, λ) is indecomposable if it is not the union of two triple systems (v,...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
AbstractIn this paper, we determine all indecomposable triple systems of order 10 and index 4 with a...
AbstractAn LPMTS(v) is a collection of v-2 disjoint pure Mendelsohn triple systems on the same set o...
AbstractDirect, easy, and self-contained proofs are presented of the existence of triple systems wit...
AbstractA partial triple system of order v, PT(v), is pair (V, B) where V is a v-set, and B is a col...
AbstractIn this paper we present some new construction of 3-chromatic STS(v) by means of MTP(w)
AbstractA triple system TS(υ,λ) is a collection of 3-element subsets (=blocks) of a v-element set X ...
AbstractIn this paper, we determine the spectrum for indecomposable S6(2, 3, υ)'s, and we prove the ...
AbstractDenote R(v) be the set of k such that there is a S3(2, 3, v) having exactly k three-times re...
AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of tr...
AbstractA general construction of 2 − (v, 3, 2) designs (twofold triple systems) is used to produce ...
Lu [6, 7, 8] proved that large sets of disjointS(2, 3, v) exist for allv ≡ 1 or 3 (mod 6),v ≠ 7. How...
AbstractLet v and λ be positive integers. A Mendelsohn triple system MTS(v, λ) is a pair (X, B), whe...
AbstractWe prove that there exists an Sλ(2, 3, v) without repeated blocks if and only if λ⩽v−2, λυ(υ...
AbstractA triple system (v, 3, λ) is indecomposable if it is not the union of two triple systems (v,...
AbstractLet D(v) denote the maximum number of pairwise disjoint Steiner triple systems of order v. I...
AbstractIn this paper, we determine all indecomposable triple systems of order 10 and index 4 with a...
AbstractAn LPMTS(v) is a collection of v-2 disjoint pure Mendelsohn triple systems on the same set o...
AbstractDirect, easy, and self-contained proofs are presented of the existence of triple systems wit...
AbstractA partial triple system of order v, PT(v), is pair (V, B) where V is a v-set, and B is a col...
AbstractIn this paper we present some new construction of 3-chromatic STS(v) by means of MTP(w)
AbstractA triple system TS(υ,λ) is a collection of 3-element subsets (=blocks) of a v-element set X ...
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