\((s,r;\mu )\)-nets and alternating forms graphs
type: Item
instance of: scholarly article
title: \((s,r;\mu )\)-nets and alternating forms graphs
zbMATH Open document ID: 0781.51008
DOI: 10.1016/0012-365X(93)90369-5
author: Tayuan Huang
author: Monique Laurent
published in: Discrete Mathematics
publication date: 1993-10-24T00:00:00Z
review text: The authors extend the well-known equivalence between Bruck nets and mutually orthogonal Latin squares to \((s,r;\mu)\)-nets and mutually orthogonal quasi-frequency squares. They then study geometries arising from bilinear forms, alternating bilinear forms, hermitian forms, and symmetric forms and exhibit Buekenhout diagrams for these geometries involving the diagram for the duals of \((s,r;\mu)\)-nets. Finally, the local structure of the alternating forms graph is studied in some detail.
reviewed by: Dieter Jungnickel
Mathematics Subject Classification ID: 51E14
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 423578
zbMATH Keywords: nets
zbMATH Keywords: frequency squares
zbMATH Keywords: alternating forms
MaRDI profile type: Publication
cites work: Q3218140
cites work: Diagrams for geometries and groups
cites work: Two remarks on Huang's characterization of the bilinear forms graphs
cites work: Association schemes and t-designs in regular semilattices
cites work: Bouquets of maroids, d-injection geometries and diagrams
cites work: Q4071252
cites work: Distance-regular graphs and halved graphs
cites work: A characterization of the association schemes of bilinear forms
cites work: An analogue of the Erdős-Ko-Rado theorem for the distance-regular graphs of bilinear forms
cites work: Lateinische Quadrate, ihre Geometrien und ihre Gruppen. (Latin squares, their geometries and groups.)
cites work: Polynomial representation of complete sets of mutually orthogonal frequency squares of prime power order
cites work: On existence and number of orthogonal arrays
cites work: Incidence structures whose planes are nets
cites work: Q4154874
cites work: On distance transitive graphs whose automorphism groups are affine
description: scientific article; zbMATH DE number 423578