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A small embedding for partial hexagon systems
 Australasian J. Combinatorics
"... Dedicated to the memory of Derrick Breach, 19331996 ..."
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Dedicated to the memory of Derrick Breach, 19331996
OUTLINE AND AMALGAMATED TRIPLE SYSTEMS OF EVEN INDEX
, 2000
"... The main result of this work describes a completely novel structural result for …v; 3; l†designs in the case when l is even. Such designs are also known as triple systems of even index. The triple system is thought of entirely in graphtheoretical terms, and the method and discussion involve such cl ..."
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The main result of this work describes a completely novel structural result for …v; 3; l†designs in the case when l is even. Such designs are also known as triple systems of even index. The triple system is thought of entirely in graphtheoretical terms, and the method and discussion involve such classical graphtheoretical
Two DoyenWilson theorems for maximum packings with triples
, 1998
"... In this paper we complete the work begun by Mendelsohn and Rosa and by Hartman, finding necessary and sufficient conditions for a maximum packing with triples of order m MPT(m) to be embedded in an MPT(n). We also characterize when it is possible to embed an MPT(m) with leave LI in an MPT(n) with le ..."
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In this paper we complete the work begun by Mendelsohn and Rosa and by Hartman, finding necessary and sufficient conditions for a maximum packing with triples of order m MPT(m) to be embedded in an MPT(n). We also characterize when it is possible to embed an MPT(m) with leave LI in an MPT(n) with leave L2 in such a way that L1 C L2.
Equitable Partial Cycle Systems
"... In this paper, we give necessary and sufficient conditions for the existence of equitable partial 4cycle and 5cycle systems. Furthermore, we construct equitable partial 4cycle and 6cycle systems of Kn,n' 1 ..."
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In this paper, we give necessary and sufficient conditions for the existence of equitable partial 4cycle and 5cycle systems. Furthermore, we construct equitable partial 4cycle and 6cycle systems of Kn,n' 1
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 SOLUTION FOR THE EMBEDDING PROBLEM FOR PARTIAL TRANSITIVE TRIPLE SYSTEMS
"... In this paper we solve the embedding problem for partial transitive triple systems of order n and index λ, partial TTS(n,λ)s, showing that any partial TTS(n,λ) can be embedded in a TTS(�,λ) for all λadmissible ��2n�1. This lower bound on � is the best possible. A simple proof is also given of a resu ..."
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In this paper we solve the embedding problem for partial transitive triple systems of order n and index λ, partial TTS(n,λ)s, showing that any partial TTS(n,λ) can be embedded in a TTS(�,λ) for all λadmissible ��2n�1. This lower bound on � is the best possible. A simple proof is also given of a result of Colbourn and Harms which shows that every partial triple system of order n and index 2λ is the underlying triple system of a partial TTS(n,λ). 1.
SEE PROFILE
, 2007
"... All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."
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All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.