DistanceRegular.org
$\text{Flag graph of } PG(2,3)$
Number of vertices:
$52$
Diameter:
$3$
Intersection array:
$\{6,3,3;1,1,2\}$
Spectrum:
$6^1 (2+\sqrt{3})^{12} (2-\sqrt{3})^{12} (-2)^{27}$
Automorphism group:
$Aut(PSL(3,3))\cong PSL(3,3):2$
Distance-transitive:
$\text{Yes}$
Primitive
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
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Graphs with 51-100 vertices
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Graphs with diameter 3
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Graphs with valency 6
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Last updated: 31 March 2019