DistanceRegular.org
$\text{Clebsch graph } \cong \text{ Folded 5-cube}$
Number of vertices:
$16$
Diameter:
$2$
Intersection array:
$\{5,4;1,2\}$
Spectrum:
$5^1 1^{10} (-3)^5$
Automorphism group:
$2^4:S_5$
Distance-transitive:
$\text{Yes}$
Primitive
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Andries Brouwer}$
$\text{Wikipedia}$
$\text{Wolfram}$
$\text{Wikipedia: Folded cube graph}$
$\text{Wolfram: Folded cube graph}$
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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 5
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Folded cubes
Last updated: 19 January 2017