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519
1 Mendelsohn Directed Triple Systems
"... This is a preprint of an article accepted for publi-cation in Discrete Mathematics c © 1999 (copyright ..."
Abstract
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This is a preprint of an article accepted for publi-cation in Discrete Mathematics c © 1999 (copyright
The spectrum of rotational directed triple systems and rotational Mendelsohn triple systems
"... Necessary and sufficient conditions for the existence of k-rotational directed triple systems and k-rotational Mendelsohn triple systems are derived. 1. ..."
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Necessary and sufficient conditions for the existence of k-rotational directed triple systems and k-rotational Mendelsohn triple systems are derived. 1.
Embedding partial Steiner triple systems
- Proc. London Math. Soc
, 1980
"... We prove that a partial Steiner triple system 8 of order n can be embedded in a Steiner triple system T of any given admissible order greater than 4w. Furthermore, if G(S), the missing-edge graph of S, has the property that A(G)<ri(n + l)l and \E(G)\ then # can be embedded in a Steiner triple sys ..."
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Cited by 8 (1 self)
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We prove that a partial Steiner triple system 8 of order n can be embedded in a Steiner triple system T of any given admissible order greater than 4w. Furthermore, if G(S), the missing-edge graph of S, has the property that A(G)<ri(n + l)l and \E(G)\ then # can be embedded in a Steiner triple
Independent sets in Steiner triple systems
- Ars Comb
"... This is a preprint of an article accepted for publication in Ars Combinatoria c○2004 (copyright owner as specified in the journal). A set of points in a Steiner triple system (STS(v)) is said to be independent if no three of these points occur in the same block. In this paper we derive for each k ≤ ..."
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Cited by 1 (0 self)
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This is a preprint of an article accepted for publication in Ars Combinatoria c○2004 (copyright owner as specified in the journal). A set of points in a Steiner triple system (STS(v)) is said to be independent if no three of these points occur in the same block. In this paper we derive for each k
Linearly derived Steiner triple systems
- Designs, Codes, and Cryptography (submitted
"... this paper. Any of the standard references on design theory and graph theory will contain the necessary background. Moreover, we define most notions as they are introduced. The only departure from the nomenclature of the vast existing literature on Steiner triple systems is that we use "order&q ..."
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Cited by 1 (0 self)
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this paper. Any of the standard references on design theory and graph theory will contain the necessary background. Moreover, we define most notions as they are introduced. The only departure from the nomenclature of the vast existing literature on Steiner triple systems is that we use "
On 2-ranks of Steiner triple systems
- Electron. J. Combin., 2:Research Paper
, 1995
"... Our main result is an existence and uniqueness theorem for Steiner triple systems which associates to every such system a binary code --- called the "carrier" --- which depends only on the order of the system and its 2-rank. When the Steiner triple system is of 2-rank less than the number ..."
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Our main result is an existence and uniqueness theorem for Steiner triple systems which associates to every such system a binary code --- called the "carrier" --- which depends only on the order of the system and its 2-rank. When the Steiner triple system is of 2-rank less than the number
WEAK COLORINGS OF STEINER TRIPLE SYSTEMS
, 2007
"... and have found that it is complete and satisfactory in all respects, Committee Members: Date: and that any and all revisions required by the final examining committee have been made. ..."
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and have found that it is complete and satisfactory in all respects, Committee Members: Date: and that any and all revisions required by the final examining committee have been made.
A CENSUS OF STEINER TRIPLE SYSTEMS AND SOME RELATED COMBINATORIAL OBJECTS
"... ABSTRACT: A Steiner triple system of order v (STS(v)) is a set of triples, or blocks, constructed over a set of v points, such that every pair of distinct points occurs in a unique block. Previously, a complete classification of the STS(v) up to isomorphism was known only for v ≤ 15. In this work, w ..."
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Cited by 1 (0 self)
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ABSTRACT: A Steiner triple system of order v (STS(v)) is a set of triples, or blocks, constructed over a set of v points, such that every pair of distinct points occurs in a unique block. Previously, a complete classification of the STS(v) up to isomorphism was known only for v ≤ 15. In this work
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