The proper linear spaces on 17 points
type: Item
instance of: scholarly article
title: The proper linear spaces on 17 points
zbMATH Open document ID: 0930.05023
DOI: 10.1016/S0166-218X(99)00151-1
published in: Discrete Applied Mathematics
publication date: 2000-01-30T00:00:00Z
review text: A linear space is an incidence structure \(S=(V,B)\), where \(V\) is a set of points, and \(B\) is a set of subsets of \(V\) called blocks, such that each block contains at least two points and each pair of points lie on a unique block. A linear space is said to be proper if each block contains at least three points and no block has length \(|V|\). The authors classify proper linear spaces on \(17\) points using tactical decompositions, and in particular the tactical decomposition by ordering (TDO) due to \textit{D. Betten} and \textit{M. Braun} [Ann. Discrete Math. 52, 37-43 (1992; Zbl 0769.51004)].
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 51E99
zbMATH DE Number: 1340628
zbMATH Keywords: linear space
zbMATH Keywords: tactical decomposition
author: Anton Betten
author: Dieter Betten
reviewed by: Antonio Cossidente
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1340628