AbstractParallel classes in S(2,4, υ) are investigated for odd Steiner numbers. It is proved that there exist systems S(2,4, υ) with at least one parallel class: 1.(1) for all υ = 61 or 49 + 48n, n ∈ N0,2.(2) for all υ = 25 or 37 + 48n, n ∈ N0, up to a finite number of cases. Classical constructions are used
AbstractA Steiner quadruple system of order v is a set X of cardinality v, and a set Q, of 4-subsets...
For each positive integer n, we construct a Steiner triple system of order v=2(3n)+1 with no almost ...
AbstractA partial parallel class of blocks of a Steiner system S(t,k,v) is a collection of pairwise ...
AbstractParallel classes in S(2,4, υ) are investigated for odd Steiner numbers. It is proved that th...
A Steiner system S(2, 4, v) is a v-element set V together with a collection B of 4-subsets of V cal...
A Steiner system S(2, 4, v) is a v-element set V together with a collection B of 4-subsets of V cal...
A Steiner system S(2, 4, v) is a v-element set V together with a collection B of 4-subsets of V cal...
A Steiner system S(2, 4, v) is a v-element set V together with a collection B of 4-subsets of V cal...
A Steiner system S(2, 4, v) is a v-element set V together with a collection B of 4-subsets of V call...
AbstractThere are exactly 16 non-isomorphic Steiner systems S(2, 4, 25) with nontrivial automorphism...
AbstractA partial parallel class of blocks of a Steiner system S(t,k,v) is a collection of pairwise ...
AbstractA Steiner quadruple system of order v is a set X of cardinality v, and a set Q, of 4-subsets...
AbstractWe discuss colourings of elements of Steiner systems S(2,4,v) in which the elements of each ...
AbstractIf a Steiner system S(4,5,17) exists, it would contain derived S(3,4,16) designs. By relying...
AbstractWe construct 2-chromatic S(2,4,v) for v=37,40, and 73. This completes the proof of the exist...
AbstractA Steiner quadruple system of order v is a set X of cardinality v, and a set Q, of 4-subsets...
For each positive integer n, we construct a Steiner triple system of order v=2(3n)+1 with no almost ...
AbstractA partial parallel class of blocks of a Steiner system S(t,k,v) is a collection of pairwise ...
AbstractParallel classes in S(2,4, υ) are investigated for odd Steiner numbers. It is proved that th...
A Steiner system S(2, 4, v) is a v-element set V together with a collection B of 4-subsets of V cal...
A Steiner system S(2, 4, v) is a v-element set V together with a collection B of 4-subsets of V cal...
A Steiner system S(2, 4, v) is a v-element set V together with a collection B of 4-subsets of V cal...
A Steiner system S(2, 4, v) is a v-element set V together with a collection B of 4-subsets of V cal...
A Steiner system S(2, 4, v) is a v-element set V together with a collection B of 4-subsets of V call...
AbstractThere are exactly 16 non-isomorphic Steiner systems S(2, 4, 25) with nontrivial automorphism...
AbstractA partial parallel class of blocks of a Steiner system S(t,k,v) is a collection of pairwise ...
AbstractA Steiner quadruple system of order v is a set X of cardinality v, and a set Q, of 4-subsets...
AbstractWe discuss colourings of elements of Steiner systems S(2,4,v) in which the elements of each ...
AbstractIf a Steiner system S(4,5,17) exists, it would contain derived S(3,4,16) designs. By relying...
AbstractWe construct 2-chromatic S(2,4,v) for v=37,40, and 73. This completes the proof of the exist...
AbstractA Steiner quadruple system of order v is a set X of cardinality v, and a set Q, of 4-subsets...
For each positive integer n, we construct a Steiner triple system of order v=2(3n)+1 with no almost ...
AbstractA partial parallel class of blocks of a Steiner system S(t,k,v) is a collection of pairwise ...
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