DistanceRegular.org
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:
Yes
Primitive
Downloads
Adjacency matrix
Adjacency matrix in GAP format
Adjacency matrix in CSV format
Graph in GRAPE format
Links
Andries Brouwer
Wikipedia
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