DistanceRegular.org
$\text{Icosahedron}$
Number of vertices:
$12$
Diameter:
$3$
Intersection array:
$\{5,2,1; 1,2,5\}$
Spectrum:
$5^1 \sqrt{5}^3 (-1)^5 (-\sqrt{5})^3$
Automorphism group:
$A_5 \times \mathbb{Z}_2$
Distance-transitive:
$\text{Yes}$
Antipodal
"
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Wikipedia}$
$\text{Wolfram}$
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Graphs with up to 50 vertices
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Graphs with diameter 3
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Graphs with valency 5
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Taylor Graphs
Last updated: 28 January 2019