Doubling and Tripling Constructions for Defining Sets in Steiner Triple Systems

Graphs and Combinatorics ◽

10.1007/s00373-002-0485-9 ◽

2003 ◽

Vol 19 (1) ◽

pp. 65-89

Author(s):

Anne Penfold Street ◽

Diane Donovan ◽

Abdollah Khodkar

Keyword(s):

Steiner Triple Systems ◽

Triple Systems ◽

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ON DEFINING SETS IN LATIN SQUARES AND TWO INTERSECTION PROBLEMS, ONE FOR LATIN SQUARES AND ONE FOR STEINER TRIPLE SYSTEMS

Bulletin of the Australian Mathematical Society ◽

10.1017/s000497271000167x ◽

2010 ◽

Vol 82 (2) ◽

pp. 351-352

Author(s):

THOMAS A. MCCOURT

Keyword(s):

Latin Squares ◽

Steiner Triple Systems ◽

Triple Systems ◽

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Defining sets for the Steiner triple systems from affine spaces

Journal of Combinatorial Designs ◽

10.1002/(sici)1520-6610(1997)5:3<155::aid-jcd1>3.0.co;2-e ◽

1997 ◽

Vol 5 (3) ◽

pp. 155-175 ◽

Author(s):

Rebecca A. H. Gower

Keyword(s):

Steiner Triple Systems ◽

Triple Systems ◽

Affine Spaces ◽

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On 6-sparse Steiner triple systems

Journal of Combinatorial Theory Series A ◽

10.1016/j.jcta.2006.04.003 ◽

2007 ◽

Vol 114 (2) ◽

pp. 235-252 ◽

Author(s):

A.D. Forbes ◽

M.J. Grannell ◽

T.S. Griggs

Keyword(s):

Steiner Triple Systems ◽

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Pasch configurations in Mollard Steiner triple systems

2017 International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON) ◽

10.1109/sibircon.2017.8109876 ◽

2017 ◽

Author(s):

Ivan Yu. Mogilnykh ◽

Faina I. Solov'eva

Keyword(s):

Steiner Triple Systems ◽

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Determination of the size of defining set for Steiner triple systems

Journal of Discrete Mathematical Sciences and Cryptography ◽

10.1080/09720529.2020.1796334 ◽

2021 ◽

pp. 1-19

Author(s):

Nazli Besharati ◽

M. Mortezaeefar

Keyword(s):

Steiner Triple Systems ◽

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Steiner triple systems with doubly transitive automorphism groups: A corollary to the classification theorem for finite simple groups

Journal of Combinatorial Theory Series A ◽

10.1016/0097-3165(84)90082-7 ◽

1984 ◽

Vol 36 (1) ◽

pp. 105-110 ◽

Author(s):

J.D Key ◽

E.E Shult

Keyword(s):

Automorphism Groups ◽

Classification Theorem ◽

Simple Groups ◽

Finite Simple Groups ◽

Steiner Triple Systems ◽

Triple Systems ◽

Transitive Automorphism

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A conjecture on small embeddings of partial Steiner triple systems

Journal of Combinatorial Designs ◽

10.1002/jcd.10017 ◽

2002 ◽

Vol 10 (5) ◽

pp. 313-321 ◽

Author(s):

Darryn Bryant

Keyword(s):

Steiner Triple Systems ◽

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Cyclic large sets of Steiner triple systems of order $15$

Mathematics of Computation ◽

10.1090/s0025-5718-1990-1035942-1 ◽

1990 ◽

Vol 55 (192) ◽

pp. 821

Author(s):

Kevin T. Phelps

Keyword(s):

Steiner Triple Systems ◽

Triple Systems ◽

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Maximum genus embeddings of Steiner triple systems

European Journal of Combinatorics ◽

10.1016/j.ejc.2004.01.014 ◽

2005 ◽

Vol 26 (3-4) ◽

pp. 401-416 ◽

Author(s):

Mike J. Grannell ◽

Terry S. Griggs ◽

Jozef Širáň

Keyword(s):

Steiner Triple Systems ◽

Maximum Genus ◽

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Motifs in triadic random graphs based on Steiner triple systems

Physical Review E ◽

10.1103/physreve.88.022805 ◽

2013 ◽

Vol 88 (2) ◽

Author(s):

Marco Winkler ◽

Jörg Reichardt

Keyword(s):

Random Graphs ◽

Steiner Triple Systems ◽

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