DistanceRegular.org
$\text{Dodecahedron}$
Number of vertices:
$20$
Diameter:
$5$
Intersection array:
$\{3,2,1,1,1; 1,1,1,2,3\}$
Spectrum:
$3^1 (\sqrt{5})^3 1^5 0^4 (-2)^4 (-\sqrt{5})^3$
Automorphism group:
$A_5\times\mathbb{Z}_2$
Distance-transitive:
$\text{Yes}$
Antipodal
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Wolfram}$
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Graphs with up to 50 vertices
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Graphs with diameter 5
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Graphs with valency 3
Last updated: 27 January 2018