DistanceRegular.org
$\text{Coxeter graph}$
Number of vertices:
$28$
Diameter:
$4$
Intersection array:
$\{3,2,2,1; 1,1,1,2\}$
Spectrum:
$3^1 2^8 (-1+\sqrt{2})^6 (-1)^7 (-1-\sqrt{2})^6$
Automorphism group:
$PGL(2,7)$
Distance-transitive:
$\text{Yes}$
Primitive
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Andries Brouwer}$
$\text{Wikipedia}$
$\text{Wolfram}$
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Graphs with up to 50 vertices
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Graphs with diameter 4
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Graphs with valency 3
Last updated: 19 January 2017