DistanceRegular.org
Hamming graph $H(2,4)$
Number of vertices:
$16$
Diameter:
$2$
Intersection array:
$\{6,3;1,2\}$
Spectrum:
$6^1 2^6 (-2)^9$
Automorphism group:
$S_4\text{Wr}\mathbb{Z}_2$
Distance-transitive:
Yes
Primitive
Downloads
Adjacency matrix
Adjacency matrix in GAP format
Adjacency matrix in CSV format
Graph in GRAPE format
Links
Andries Brouwer: 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 up to 50 vertices
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Graphs with diameter 2
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Graphs with valency 6
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Hamming Graphs
Last updated: 30 January 2017