DistanceRegular.org
$\text{Sylvester graph}$
Number of vertices:
$36$
Diameter:
$3$
Intersection array:
$\{5,4,2;1,1,4\}$
Spectrum:
$5^1 2^{16} (-1)^{10} (-3)^9$
Automorphism group:
$\text{Aut}(S_6)$
Distance-transitive:
$\text{Yes}$
Primitive
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Andries Brouwer}$
$\text{Wikipedia}$
$\text{Wolfram}$
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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 5
Last updated: 4 February 2017