DistanceRegular.org
$\text{Halved 9-cube}$
Number of vertices:
$256$
Diameter:
$4$
Intersection array:
$\{36,21,10,3;1,6,15,28\}$
Spectrum:
$36^1 20^9 8^{36} 0^{84} (-4)^{126}$
Automorphism group:
$2^8:S_9$
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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Halved cubes
Last updated: 22 January 2017