The existence of Schröder designs with equal-sized holes
type: Item
instance of: scholarly article
title: The existence of Schröder designs with equal-sized holes
zbMATH Open document ID: 0880.05009
DOI: 10.1016/0012-365X(95)00353-X
published in: Discrete Mathematics
publication date: 1997-08-10T00:00:00Z
review text: Holey Schröder designs generalize idempotent Schröder quasigroups. It is shown that when there are \(n\) holes each of size \(h\), a holey Schröder design exists except when \((h, n)\) is \((1, 5)\), \((1, 9)\), \((2, 4)\) or possibly \((6, 4)\), whenever \(h\) is even or \(n\equiv 0, 1\pmod 4\).
reviewed by: Charles J. Colbourn
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B15
Mathematics Subject Classification ID: 20N05
zbMATH DE Number: 1047043
zbMATH Keywords: edge-colored design
zbMATH Keywords: Schröder quasigroups
zbMATH Keywords: holey Schröder design
author: Frank E. Bennett
author: Ruizhong Wei
describes a project that uses: Mace4
MaRDI profile type: Publication
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full work available at URL: 0012-365x(95)00353-x
OpenAlex ID: W2024803549
description: scientific article; zbMATH DE number 1047043