DistanceRegular.org
2
nd
subconstituent of Hoffman-Singleton graph
Number of vertices:
$42$
Diameter:
$3$
Intersection array:
$\{6,5,1;1,1,6\}$
Spectrum:
$6^1 2^{21} (-1)^6 (-3)^{14}$
Automorphism group:
$S_7$
Distance-transitive:
Yes
Antipodal
Downloads
Adjacency matrix
Adjacency matrix in GAP format
Adjacency matrix in CSV format
Graph in GRAPE format
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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 6
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Antipodal covers of complete graphs
Last updated: 21 May 2019