DistanceRegular.org
Hamming graph $H(2,32)$
Number of vertices:
$1024$
Diameter:
$2$
Intersection array:
$\{62,31;1,2\}$
Spectrum:
$62^1 30^{62} (-2)^{961}$
Automorphism group:
$\mathrm{S}_{32}\text{Wr}\mathbb{Z}_2$
Distance-transitive:
Yes
Primitive
Downloads
Graph in GRAPE format
Links
Andries Brouwer: Hamming graph $H(d,q)$
Wikipedia: Hamming graph $H(d,q)$
Wolfram: Hamming graph $H(d,q)$
Wikipedia: Rook's graph $H(2,q)$
Wolfram: Rook's graph $H(2,q)$
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Graphs with more than 1000 vertices
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Graphs with diameter 2
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Hamming Graphs
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Rank-3 graphs on 1024 vertices
Last updated: 17 July 2024