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.

Publisher's Statement

© 2011 Wiley Periodicals, Inc. Publisher’s version of record: https://doi.org/10.1002/jcd.20307

Publication Title

Journal of Combinatorial Designs

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