DistanceRegular.org
$\text{Halved 8-cube}$
Number of vertices:
$128$
Diameter:
$4$
Intersection array:
$\{28,15,6,1;1,6,15,28\}$
Spectrum:
$28^1 14^8 4^{28} (-2)^{56} (-4)^{35}$
Automorphism group:
$2^7:S_8$
Distance-transitive:
$\text{Yes}$
Antipodal
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Wikipedia: Halved cube graph}$
$\text{Wolfram: Halved cube graph}$
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Graphs with 101-150 vertices
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Graphs with diameter 4
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Halved cubes
Last updated: 22 January 2017