Switching equivalence of strongly regular polar graphs
We prove the switching equivalence of the strongly regular polar graphs <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>N</mml:mi> <mml:msup> <mml:mi>O</mml:mi> <mml:mo>±</mml:mo> </mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>4</mml:mn> <mml:mi>m</mml:mi> <mml:mo>,</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>N</mml:mi> <mml:msup> <mml:mi>O</mml:mi> <mml:mo>∓</mml:mo> </mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>2</mml:mn> <mml:mi>m</mml:mi> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mn>4</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> , and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Γ</mml:mi> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>O</mml:mi> <mml:mo>∓</mml:mo> </mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>4</mml:mn> <mml:mi>m</mml:mi> <mml:mo>,</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> with an isolated vertex by giving an analytic description for them and their associated two-graphs.
Authors
- Gábor P. Nagy
- Valentino Smaldore
Institutions
- University of Szeged (HU)
- Gestione Sistemi per l’Informatica (Italy) (IT)
Publication Details
- Journal
- Algebraic Combinatorics
- Published
- 2026-03-03
- DOI
- https://doi.org/10.5802/alco.470
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Hungarian Scientific Research Fund
- Nemzeti Kutatási Fejlesztési és Innovációs Hivatal
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni
- Nemzeti Kutatási, Fejlesztési és Innovaciós Alap