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Folded 6-cube $\cong$ Doubled $H(2,4) \cong$ Doubled Shrikhande graph
Number of vertices:
$32$
Diameter:
$3$
Intersection array:
$\{6,5,4;1,2,6\}$
Spectrum:
$6^1 2^{15} (-2)^{15} (-6)^1$
Automorphism group:
$2^5:S_6$
Distance-transitive:
Yes
Bipartite
Downloads
Adjacency matrix
Adjacency matrix in GAP format
Adjacency matrix in CSV format
Graph in GRAPE format
Links
Andries Brouwer: Folded 6-cube
Wikipedia: Folded cube graph
Wolfram: Folded cube graph
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Graphs with valency 6
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Bipartite doubles
Last updated: 22 January 2017