DistanceRegular.org
Complement of Hoffman-Singleton graph
Number of vertices:
$50$
Diameter:
$2$
Intersection array:
$\{42,6;1,36\}$
Spectrum:
$42^1 2^{21} (-3)^{28}$
Automorphism group:
$\mathrm{P} \Sigma \mathrm{U}(3,5^2)$
Distance-transitive:
Yes
Primitive
Downloads
Adjacency matrix
Adjacency matrix in GAP format
Adjacency matrix in CSV format
Graph in GRAPE format
Links
Andries Brouwer: Hoffman-Singleton graph
Wikipedia: Hoffman-Singleton graph
Wolfram: Hoffman-Singleton graph
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Graphs with up to 50 vertices
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Graphs with diameter 2
Last updated: 8 February 2017