DistanceRegular.org
$\text{Hoffman-Singleton graph}$
Number of vertices:
$50$
Diameter:
$2$
Intersection array:
$\{7,6;1,1\}$
Spectrum:
$7^1 2^{28} (-3)^{21}$
Automorphism group:
$P \Sigma U(3,5^2)$
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 2
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Graphs with valency 7
Last updated: 30 January 2017