Paper Info
Title
Kirkman triple systems with subsystems.
Abstract
A Steiner triple system of order v, STS(v), together with a resolution of its blocks is called a Kirkman triple system of order v, KTS(v). A KTS(v) exists if and only if v≡3(mod6). The smallest order for which the KTS(v) have not been classified is v=21, which is also the smallest order for which the existence of a doubly resolvable STS(v) is open. Here, KTS(21) with STS(7) and STS(9) subsystems are classified, leading to more than 13 million KTS(21). In this process, systems missing from an earlier classification of KTS(21) with nontrivial automorphisms are encountered, so such a classification is redone.
Year
DOI
Venue
2020
10.1016/j.disc.2020.111960
Discrete Mathematics
Keywords
DocType
Volume
Automorphism group,Doubly resolvable,Kirkman triple system,Resolution,Steiner triple system,Subsystem
Journal
343
Issue
ISSN
Citations 
9
0012-365X
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Janne I. Kokkala192.46
Patric R. J. Östergård200.34