DistanceRegular.org
Hamming graph $H(4,6)$
Number of vertices:
$1296$
Diameter:
$4$
Intersection array:
$\{20,15,10,5;1,2,3,4\}$
Spectrum:
$20^1 14^{20} 8^{150} 2^{500} (-4)^{625}$
Automorphism group:
$S_6\text{Wr}S_4$
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 $H(d,q)$
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Graphs with more than 1000 vertices
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Graphs with diameter 4
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Hamming Graphs
Last updated: 21 March 2024