More results on large sets of Kirkman triple systems
Combinatorics
2023-02-14 v2
Abstract
The existence of large sets of Kirkman triple systems (LKTSs) is one of the best-known open problems in combinatorial design theory. Steiner quadruple systems with resolvable derived designs (RDSQSs) play an important role in the recursive constructions of LKTSs. In this paper, we introduce a special combinatorial structure RDSQS*(v) and use it to present a construction for RDSQS(4v). As a consequence, some new infinite families of LKTSs are given.
Keywords
Cite
@article{arxiv.2210.06214,
title = {More results on large sets of Kirkman triple systems},
author = {Yan Liu and Jianguo Lei},
journal= {arXiv preprint arXiv:2210.06214},
year = {2023}
}