DistanceRegular.org
Complement of Clebsch graph $\cong$ 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:
Yes
Primitive
Downloads
Adjacency matrix
Adjacency matrix in GAP format
Adjacency matrix in CSV format
Graph in GRAPE format
Links
Wikipedia: Halved cube graph
Wolfram: Halved cube graph
Andries Brouwer: Clebsch graph
Wikipedia: Clebsch graph
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