DistanceRegular.org
$\text{Halved 7-cube}$
Number of vertices:
$64$
Diameter:
$3$
Intersection array:
$\{21,10,3;1,6,15\}$
Spectrum:
$21^1 9^7 1^{21} (-3)^{35}$
Automorphism group:
$2^6:S_7$
Distance-transitive:
$\text{Yes}$
Primitive
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Wikipedia: Halved cube graph}$
$\text{Wolfram: Halved cube graph}$
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Graphs with 51-100 vertices
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Graphs with diameter 3
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Halved cubes
Last updated: 22 January 2017