DistanceRegular.org
Complement of Schläfli graph $\cong$ Line graph of $GQ(2,4)$
Number of vertices:
$27$
Diameter:
$2$
Intersection array:
$\{10,8;1,5\}$
Spectrum:
$10^1 1^{20} (-5)^6$
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: Schläfli graph
Wikipedia: Schläfli graph
Wolfram: Schläfli 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
Last updated: 14 August 2018