About the existence of certain geometrical configurations connected with projective planes of order 10
type: Item
instance of: scholarly article
title: About the existence of certain geometrical configurations connected with projective planes of order 10
zbMATH Open document ID: 0571.51008
DOI: 10.1007/BF02844500
author: Giorgio Faina
publication date: 1984-01-01T00:00:00Z
review text: Using results about ovals in projective planes of order ten and properties of the complete graph on 2t vertices, the author proves the non-existence of a Buekenhout oval of order ten and the non-existence of partial geometries of type pg(6,9,4).
Mathematics Subject Classification ID: 51E30
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 05C70
zbMATH DE Number: 3911169
zbMATH Keywords: 1-factors of a graph
zbMATH Keywords: complete graph
zbMATH Keywords: Buekenhout oval
zbMATH Keywords: partial geometries
reviewed by: A. Bonisoli
MaRDI profile type: Publication
cites work: Strongly regular graphs, partial geometries and partially balanced designs
cites work: Q5537042
cites work: Q5545191
cites work: Q3948229
cites work: A Buekenhout oval which is not projective
cites work: The nonexistence of ovals in a projective plane of order 10
cites work: Q3658010
cites work: Q3920238
full work available at URL: https://doi.org/10.1007/bf02844500
OpenAlex ID: W2069329322
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 3911169