Affine Polar Graphs

Isotropic Directions

GraphNo. of vertices
$\mathrm{VO}_2^+(3)$ graph $\cong$ Paley graph $P_9$9
$\mathrm{VO}_4^-(2)$ graph $\cong$ Clebsch graph16
$\mathrm{VO}_4^+(2)$ graph $\cong$ Bilinear forms graph $\mathrm{H}_2(2,2)$16
$\mathrm{VO}_6^-(2)$ graph64
$\mathrm{VO}_6^+(2)$ graph64
$\mathrm{VO}_4^-(3)$ graph $\cong$ Brouwer–Haemers graph81
$\mathrm{VO}_4^+(3)$ graph $\cong$ Bilinear forms graph $\mathrm{H}_3(2,2)$81
$\mathrm{VO}_4^-(4)$ graph256
$\mathrm{VO}_4^+(4)$ graph $\cong$ Bilinear forms graph $\mathrm{H}_4(2,2)$256
$\mathrm{VO}_8^-(2)$ graph256
$\mathrm{VO}_8^+(2)$ graph256
$\mathrm{VO}_4^-(5)$ graph625
$\mathrm{VO}_4^+(5)$ graph $\cong$ Bilinear forms graph $\mathrm{H}_5(2,2)$625
$\mathrm{VO}_6^-(3)$ graph729
$\mathrm{VO}_6^+(3)$ graph729
$\mathrm{VO}_{10}^-(2)$ graph1024
$\mathrm{VO}_{10}^+(2)$ graph1024
$\mathrm{VO}_4^-(7)$ graph2401
$\mathrm{VO}_4^+(7)$ graph $\cong$ Bilinear forms graph $\mathrm{H}_7(2,2)$2401

Square Directions

GraphNo. of vertices
$\mathrm{VNO}_4^-(3)$ graph81
$\mathrm{VNO}_4^-(5)$ graph625

Complements

GraphNo. of vertices
$\overline{\mathrm{VO}_{10}^+(2)}$ graph1024

Back to: A-Z index • Graphs by family
Last updated: 29 March 2025