DistanceRegular.org
Taylor graph from $J(6,2) \cong$ Halved 6-cube
Number of vertices:
$32$
Diameter:
$3$
Intersection array:
$\{15,6,1;1,6,15\}$
Spectrum:
$15^1 5^6 (-1)^{15} (-3)^{10}$
Automorphism group:
$2^5:S_6$
Distance-transitive:
Yes
Antipodal
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
Wolfram: Taylor graph
Andries Brouwer: Johnson graph
Wikipedia: Johnson graph
Wolfram: Johnson graph
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Graphs with up to 50 vertices
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Graphs with diameter 3
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Taylor Graphs
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Halved cubes
Last updated: 31 March 2019