DistanceRegular.org
Schläfli graph
Number of vertices:
$27$
Diameter:
$2$
Intersection array:
$\{16,5;1,8\}$
Spectrum:
$16^1 4^6 (-2)^{20}$
Automorphism group:
$\mathrm{PSp}(4,3):2$
Distance-transitive:
Yes
Primitive
Downloads
Adjacency matrix
Adjacency matrix in GAP format
Adjacency matrix in CSV format
Graph in GRAPE format
Links
Andries Brouwer
Wikipedia
Wolfram
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Graphs with up to 50 vertices
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Graphs with diameter 2
Last updated: 14 August 2018