DistanceRegular.org
$\text{Johnson graph }J(6,3)$
Number of vertices:
$20$
Diameter:
$3$
Intersection array:
$\{9,4,1;1,4,9\}$
Spectrum:
$9^1 3^5 (-1)^9 (-3)^5$
Automorphism group:
$S_6 \times \mathbb{Z}_2$
Distance-transitive:
$\text{Yes}$
Antipodal
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Andries Brouwer}$
$\text{Wikipedia}$
$\text{Wolfram}$
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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 9
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Johnson Graphs
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Taylor Graphs
Last updated: 6 February 2019