Transverse quadruple systems with five holes
Document Type
Article
Publication Date
7-2007
Department
Department of Mathematical Sciences
Abstract
Transverse Steiner quadruple systems with five holes are either of type g5 or g4u1. We concentrate on the systems of type g4u1 and settle existence except when g ≡ u ≡ 2 (mod 4) and all except 40 parameter situations when g ≡ u + 2 ≡ 0 (mod 4). The question of existence for transverse quadruple systems of type g4u1 with index λ > 1 is completely solved for all λ ≥ 13 and λ ∈ {4, 6, 8, 9, 10, 12}.
Publication Title
Journal of Combinatorial Designs
Recommended Citation
Keranen, M. S.,
&
Kreher, D. L.
(2007).
Transverse quadruple systems with five holes.
Journal of Combinatorial Designs,
15(4), 315-340.
http://doi.org/10.1002/jcd.20114
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3711
Publisher's Statement
© 2006 Wiley Periodicals, Inc. Publisher’s version of record: https://doi.org/10.1002/jcd.20114
Erratum: Transverse quadruple systems with five holes DOI: https://doi.org/10.1002/jcd.20238