Segre's hemisystem and two-character sets (Q2908704)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Segre's hemisystem and two-character sets |
scientific article; zbMATH DE number 6077132
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Segre's hemisystem and two-character sets |
scientific article; zbMATH DE number 6077132 |
Statements
5 September 2012
0 references
hemisystem
0 references
two-character set
0 references
strongly regular graph
0 references
Segre's hemisystem and two-character sets (English)
0 references
The generalized quadrangle \(H(3,9)\) is the incidence structure of all points and lines of a non-singular Hermitian surface in \(PG(3,9).\) A regular system of order \(m\) of \(H(3,9)\) is a set of lines with the property that every point lies on exactly \(m\) lines, \(0 < m < q+1.\) The concurrency graph of the lines of a regular system is a strongly regular graph. The authors find two new symmetric strongly regular graphs associated to \(H(3,9).\)
0 references
