On large sets of disjoint Steiner triple systems. VI
type: Item
instance of: scholarly article
title: On large sets of disjoint Steiner triple systems. VI
zbMATH Open document ID: 0557.05012
DOI: 10.1016/0097-3165(84)90068-2
author: Jia-Xi Lu
published in: Journal of Combinatorial Theory. Series A
publication date: 1984-01-01T00:00:00Z
review text: [For part V see ibid. 37, 164-188 (1984; Zbl 0545.05015).] Let D(v) be the maximum number of pairwise disjoint Steiner triple systems of order v. In this last of a series of six papers, the author proves that \(D(v)=v-2\) for all \(v\equiv 1\) or 3 (mod 6) \((v>7)\), except possibly when \(v=141\), 283, 501, 789, 1501, 2365.
Mathematics Subject Classification ID: 05B07
zbMATH DE Number: 3887700
zbMATH Keywords: maximum number of pairwise disjoint Steiner triple systems
reviewed by: Rosa Anna Marinosci
MaRDI profile type: Publication
full work available at URL: 0097-3165(84)90068-2
OpenAlex ID: W4212965248
cites work: Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
cites work: Some packings with Steiner triple systems
cites work: Constructions of Disjoint Steiner Triple Systems
cites work: On large sets of disjoint Steiner triple systems. IV
cites work: A theorem on the maximum number of disjoint Steiner triple systems
cites work: Intersection Properties of Steiner Systems
cites work: Q3851094
cites work: On the maximum number of disjoint Steiner triple systems
description: scientific article; zbMATH DE number 3887700