Add to ORKGThe main result of this paper is the determination of all pairwise nonisomorphic trade sets of volume at most 10 which can appear in Steiner triple systems. We also enumerate partial Steiner triple systems having at most 10 blocks as well as configurations with no points of degree 1 and tradeable configurations having at most 12 blocks. AMS classification: 05B0
Steiner triple systems are known to exist for orders n ≡ 1, 3 mod 6. There are many known constructi...
Two Steiner triple systems (X,A) and (X,B) are said to intersect in m pairwise disjoint blocks if |A...
Two Steiner triple systems (X,A) and (X,B) are said to intersect in m pairwise disjoint blocks if |A...
This is a preprint of an article accepted for publication in the Australasian Journal of Combinatori...
A (Formula presented.) -configuration is a set of (Formula presented.) blocks on (Formula presented....
A (Formula presented.) -configuration is a set of (Formula presented.) blocks on (Formula presented....
Using an orderly algorithm, the Steiner triple systems of order 19 are classified; there are 11,084,...
A Steiner 2-(v,3) trade is a pair (T1,T2) of disjoint partial Steiner triple systems, each on the sa...
We consider the sets of all possible Steiner triple systems (STS) which can be defined on a 7-set or...
AbstractWe examine the following question: for which orders does there exist a Steiner triple system...
AbstractWe examine the following question: for which orders does there exist a Steiner triple system...
Assmus [1] gave a description of the binary code spanned by the blocks of a Steiner triple or quadru...
Assmus [1] gave a description of the binary code spanned by the blocks of a Steiner triple or quadru...
Assmus [1] gave a description of the binary code spanned by the blocks of a Steiner triple or quadru...
A minimal defining set of a Steiner triple system on a points (STS(v)) is a partial Steiner triple s...
Steiner triple systems are known to exist for orders n ≡ 1, 3 mod 6. There are many known constructi...
Two Steiner triple systems (X,A) and (X,B) are said to intersect in m pairwise disjoint blocks if |A...
Two Steiner triple systems (X,A) and (X,B) are said to intersect in m pairwise disjoint blocks if |A...
This is a preprint of an article accepted for publication in the Australasian Journal of Combinatori...
A (Formula presented.) -configuration is a set of (Formula presented.) blocks on (Formula presented....
A (Formula presented.) -configuration is a set of (Formula presented.) blocks on (Formula presented....
Using an orderly algorithm, the Steiner triple systems of order 19 are classified; there are 11,084,...
A Steiner 2-(v,3) trade is a pair (T1,T2) of disjoint partial Steiner triple systems, each on the sa...
We consider the sets of all possible Steiner triple systems (STS) which can be defined on a 7-set or...
AbstractWe examine the following question: for which orders does there exist a Steiner triple system...
AbstractWe examine the following question: for which orders does there exist a Steiner triple system...
Assmus [1] gave a description of the binary code spanned by the blocks of a Steiner triple or quadru...
Assmus [1] gave a description of the binary code spanned by the blocks of a Steiner triple or quadru...
Assmus [1] gave a description of the binary code spanned by the blocks of a Steiner triple or quadru...
A minimal defining set of a Steiner triple system on a points (STS(v)) is a partial Steiner triple s...
Steiner triple systems are known to exist for orders n ≡ 1, 3 mod 6. There are many known constructi...
Two Steiner triple systems (X,A) and (X,B) are said to intersect in m pairwise disjoint blocks if |A...
Two Steiner triple systems (X,A) and (X,B) are said to intersect in m pairwise disjoint blocks if |A...