Classification of directed and hybrid triple systems

Östergård, Patric R. J. and Pottonen, Olli (2005) Classification of directed and hybrid triple systems. Bayreuther Mathematische Schriften, 74 276-291.

Author Östergård, Patric R. J.
Pottonen, Olli
Title Classification of directed and hybrid triple systems
Journal name Bayreuther Mathematische Schriften   Check publisher's open access policy
ISSN 0172-1062
Publication date 2005-11-01
Sub-type Article (original research)
Open Access Status
Volume 74
Start page 276
End page 291
Total pages 16
Place of publication Bayreuth, Germany
Publisher Mathematisches Institut, Universitaet Bayreuth
Language eng
Formatted abstract
Pairwise nonisomorphic directed and hybrid triple systems can be generated by, respectively, directing and ordering twofold triple systems and using the automorphisms of the twofold triple systems for isomorph rejection. Using this approach directed triple systems of order up to 10 and hybrid triple systems of order up to 9 are classified. In particular, it turns out that the number of nonisomorphic directed triple systems of orders 9 and 10 are 596, 893, 386 and 3, 753, 619, 614, 456, respectively.
Keyword Classification
Directed triple system
Hybrid triple system
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ
Additional Notes ALCOMA'05: Proceedings of the Conference on Algebraic Combinatorics and Applications, Designs and Codes (April 3-10, 2005, Thurnau)

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
Version Filter Type
Citation counts: Google Scholar Search Google Scholar
Created: Mon, 15 Sep 2014, 10:43:39 EST by Olli Pottonen on behalf of Mathematics