DistanceRegular.org
4-cube $Q_4 \cong H(4,2)$
Number of vertices:
$16$
Diameter:
$4$
Intersection array:
$\{4,3,2,1; 1,2,3,4\}$
Spectrum:
$4^1 2^4 0^6 (-2)^4 (-4)^1$
Automorphism group:
$\mathbb{Z}_2\text{Wr}S_4$
Distance-transitive:
Yes
Bipartite
,
Antipodal
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: Hypercube graph $H(d,2)$
Wolfram: Hypercube graph $H(d,2)$
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Graphs with up to 50 vertices
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Graphs with diameter 4
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Graphs with valency 4
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Hamming Graphs
Last updated: 4 February 2017