The flower intersection problem for Kirkman triple systems
type: Item
instance of: scholarly article
title: The flower intersection problem for Kirkman triple systems
zbMATH Open document ID: 1036.05010
DOI: 10.1016/S0378-3758(01)00282-8
author: Giovanni Lo Faro
author: Yanxun Chang
published in: Journal of Statistical Planning and Inference
publication date: 2003-04-09T00:00:00Z
review text: The flower at a point of a Steiner triple system is the set of triples containing that point. The paper determines the spectrum of integers \(k\) (with only nine undecided cases) such that there exists a pair of Kirkman triple systems on \(2r+ 1\) points that share \(k+ r\) triples, \(r\) of those being the triples of a common flower.
Mathematics Subject Classification ID: 05B07
zbMATH DE Number: 1895860
zbMATH Keywords: Steiner triple system
zbMATH Keywords: Frame
reviewed by: Vladimir D. Tonchev
MaRDI profile type: Publication
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full work available at URL: s0378-3758(01)00282-8
OpenAlex ID: W1993736506
description: scientific article; zbMATH DE number 1895860