Distance-Regular (0,α)-Reguli |
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Authors: | Frank de Clerck Stefaan de Winter Elisabeth Kuijken Cristina Tonesi |
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Institution: | (1) Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281 - S22, B-9000 Gent, Belgium |
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Abstract: | We introduce distance-regular (0,α)-reguli and show that they give rise to (0,α)-geometries with a distance-regular point graph. This generalises the SPG-reguli of Thas 14] and the strongly regular (α,β)-reguli of Hamilton and Mathon 9], which yield semipartial geometries and strongly regular (α,β)-geometries, respectively. We describe two infinite classes of examples, one of which is a generalisation of the well-known
semipartial geometry Tn*(B) arising from a Baer subspace PG(n, q) in PG(n, q2).
Research Fellow supported by the Flemish Institute for the Promotion of Scientific and Technological Research in Industry
(IWT), grant no. IWT/SB/13367/Tonesi
Research assistant of the Fund for Scientific Research Flanders (FWO-Vlaanderen). |
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Keywords: | distance-regular graphs semipartial geometries |
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