Add to ORKGThere are four resolvable Steiner triple systems on fifteen elements. Some generalizations of these systems are presented here
AbstractWe prove that if (S1, β1) and (S2, β2) are two Steiner triple systems of order v and if S is...
A Steiner triple system (STS) is a set S together with a collection B of subsets of S of size 3 suc...
AbstractExtended triple systems (or ETSs for short) generalize the Steiner triple systems: they are ...
AbstractLet q be a number all whose prime factors divide integers of the form 2s − 1, s odd. If n = ...
AbstractA Steiner triple system of order v is called reverse if its automorphism group contains an i...
AbstractWe prove that two famous conjectures of Berge and of Chvàtal are true for all nearly resolva...
AbstractThe Steiner triple systems are characterized in terms of strongly regular graphs provided th...
Let π be a permutation of the set {1, 2,..., υ} having f< υ fixed points and (υ — f)/2 disjoint t...
AbstractSuppose S is a Steiner triple-system on the n-element set X, i.e., for every pair of distinc...
This thesis concerns the automorphism groups of Steiner triple systems and of cycle systems. Althoug...
AbstractA Steiner quadruple system of order v is a set X of cardinality v, and a set Q, of 4-subsets...
AbstractThere exist 13 mutually disjoint resolutions of the Steiner system S(5, 8, 24). There also e...
AbstractA Steiner triple system S(v) of order v is said to be k-rotational if it admits an automorph...
AbstractA general construction of 2 − (v, 3, 2) designs (twofold triple systems) is used to produce ...
Let π be a permutation of the set {1, 2,..., υ} having f< υ fixed points and (υ — f)/2 disjoint t...
AbstractWe prove that if (S1, β1) and (S2, β2) are two Steiner triple systems of order v and if S is...
A Steiner triple system (STS) is a set S together with a collection B of subsets of S of size 3 suc...
AbstractExtended triple systems (or ETSs for short) generalize the Steiner triple systems: they are ...
AbstractLet q be a number all whose prime factors divide integers of the form 2s − 1, s odd. If n = ...
AbstractA Steiner triple system of order v is called reverse if its automorphism group contains an i...
AbstractWe prove that two famous conjectures of Berge and of Chvàtal are true for all nearly resolva...
AbstractThe Steiner triple systems are characterized in terms of strongly regular graphs provided th...
Let π be a permutation of the set {1, 2,..., υ} having f< υ fixed points and (υ — f)/2 disjoint t...
AbstractSuppose S is a Steiner triple-system on the n-element set X, i.e., for every pair of distinc...
This thesis concerns the automorphism groups of Steiner triple systems and of cycle systems. Althoug...
AbstractA Steiner quadruple system of order v is a set X of cardinality v, and a set Q, of 4-subsets...
AbstractThere exist 13 mutually disjoint resolutions of the Steiner system S(5, 8, 24). There also e...
AbstractA Steiner triple system S(v) of order v is said to be k-rotational if it admits an automorph...
AbstractA general construction of 2 − (v, 3, 2) designs (twofold triple systems) is used to produce ...
Let π be a permutation of the set {1, 2,..., υ} having f< υ fixed points and (υ — f)/2 disjoint t...
AbstractWe prove that if (S1, β1) and (S2, β2) are two Steiner triple systems of order v and if S is...
A Steiner triple system (STS) is a set S together with a collection B of subsets of S of size 3 suc...
AbstractExtended triple systems (or ETSs for short) generalize the Steiner triple systems: they are ...