Uniform two-class regular partial steiner triple systems
Document Type
Article
Publication Date
3-2012
Department
Department of Mathematical Sciences
Abstract
A 2-class regular partial Steiner triple system is a partial Steiner triple system whose points can be partitioned into 2-classes such that no triple is contained in either class and any two points belonging to the same class are contained in the same number of triples. It is uniform if the two classes have the same size. We provide necessary and sufficient conditions for the existence of uniform 2-class regular partial Steiner triple systems.
Publication Title
Journal of Combinatorial Designs
Recommended Citation
Keranen, M. S.,
Kreher, D. L.,
&
Özkan, S.
(2012).
Uniform two-class regular partial steiner triple systems.
Journal of Combinatorial Designs,
20(3), 161-178.
http://doi.org/10.1002/jcd.20307
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3713
Publisher's Statement
© 2011 Wiley Periodicals, Inc. Publisher’s version of record: https://doi.org/10.1002/jcd.20307