Subconstituents of orthogonal graphs of characteristic 2
| Autor: | Zhe-Xian Wan, Kai Zhou, Zhenhua Gu |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
Numerical Analysis Automorphism group Strongly regular graph Algebra and Number Theory 010102 general mathematics 010103 numerical & computational mathematics Edge (geometry) 01 natural sciences Combinatorics Finite field Discrete Mathematics and Combinatorics Orthogonal group Geometry and Topology 0101 mathematics Mathematics |
| Zdroj: | Linear Algebra and its Applications. 507:251-266 |
| ISSN: | 0024-3795 |
| Popis: | The subconstituents of the (singular) orthogonal graphs over finite fields of characteristic 2 are studied. After considering the actions of the orthogonal group on the graphs, their parameters are calculated. We show that the first subconstituent is strongly regular and that for all but the smallest cases, the second subconstituent is quasi-strongly regular and edge regular. The automorphism group of the second subconstituent is also determined. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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