Sequencing partial Steiner triple systems
Document Type
Article
Publication Date
12-11-2019
Department
Department of Mathematical Sciences
Abstract
A partial Steiner triple system of order 𝑛 is sequenceable if there is a sequence of length 𝑛 of its distinct points such that no proper segment of the sequence is a union of point‐disjoint blocks. We prove that if a partial Steiner triple system has at most three point‐disjoint blocks, then it is sequenceable.
Publication Title
Journal of Combinatorial Designs
Recommended Citation
Alspach, B.,
Kreher, D. L.,
&
Pastine, A.
(2019).
Sequencing partial Steiner triple systems.
Journal of Combinatorial Designs,
28(4), 327-343.
http://doi.org/10.1002/jcd.21698
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/1519