On the extendability of steiner t‐designs

Authors

Alphonse Baartmans, Michigan Technological UniversityFollow
Ian Blake, University of Waterloo
Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

1993

Abstract

Necessary and sufficient conditions for the extendability of residual designs of Steiner systems S(t,t + 1,v) are studied. In particular, it is shown that a residual design with respect to a single point is uniquely extendable, and the extendability of a residual design with respect to a pair of points is equivalent to a bipartition of the block graph of a related design.

Publisher's Statement

Copyright © 1993 Wiley Periodicals, Inc., A Wiley Company. Publisher’s version of record: https://doi.org/10.1002/jcd.3180010305

Publication Title

Journal of Combinatorial Designs

Recommended Citation

Baartmans, A., Blake, I., & Tonchev, V. (1993). On the extendability of steiner t‐designs. Journal of Combinatorial Designs, 1(3), 239-247. http://doi.org/10.1002/jcd.3180010305
Retrieved from: https://digitalcommons.mtu.edu/math-fp/167