Some properties of the twisted Grassmann graphs
type: Item
instance of: scholarly article
title: Some properties of the twisted Grassmann graphs
zbMATH Open document ID: 1111.05099
author: Tatsuya Fujisaki
author: Makoto Tagami
author: Jack H. Koolen
published in: Innovations in Incidence Geometry
publication date: 2006-11-29T00:00:00Z
review text: This note investigates some properties of the twisted Grassmann graphs. These graphs have the same parameters as the Grassmann graphs \(J_q(2e+ 1,e)\), but are not vertex-transitive. Full automorphism groups of these graphs have been determined. It is also shown that these automorphism groups do not have distance-regular antipodal covers. It is further shown that they are not the halved graphs of bipartite distance-regular graphs.
Mathematics Subject Classification ID: 05E20
Mathematics Subject Classification ID: 05E30
Mathematics Subject Classification ID: 05C25
zbMATH DE Number: 5076689
zbMATH Keywords: antipodal covers
zbMATH Keywords: automorphism group
zbMATH Keywords: bipartite distance-regular graph
reviewed by: Bai Kishan Dass
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5076689