DistanceRegular.org
$\text{Complement of Clebsch graph } \cong \text{ Halved 5-cube}$
Number of vertices:
$16$
Diameter:
$2$
Intersection array:
$\{10,3; 1,6\}$
Spectrum:
$10^1 2^5 (-2)^{10}$
Automorphism group:
$2^4:S_5$
Distance-transitive:
$\text{Yes}$
Primitive
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Wikipedia: Halved cube graph}$
$\text{Wolfram: Halved cube graph}$
$\text{Andries Brouwer: Clebsch graph}$
$\text{Wikipedia: Clebsch graph}$
$\text{Wolfram: Clebsch graph}$
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Graphs with up to 50 vertices
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Graphs with diameter 2
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Graphs with valency 10
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Halved cubes
Last updated: 8 February 2017