DistanceRegular.org
$\text{Desargues graph} \cong D(O_3)$
Number of vertices:
$20$
Diameter:
$5$
Intersection array:
$\{3,2,2,1,1; 1,1,2,2,3\}$
Spectrum:
$3^1 2^4 1^5 (-1)^5 (-2)^4 (-3)^1$
Automorphism group:
$S_5 \times \mathbb{Z}_2$
Distance-transitive:
$\text{Yes}$
Bipartite, Antipodal
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Andries Brouwer: Desargues graph}$
$\text{Wikipedia: Desargues graph}$
$\text{Wolfram: Desargues graph}$
$\text{Wikipedia: Bipartite Double Cover}$
$\text{Wolfram: Bipartite Double Graph}$
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Graphs with diameter 5
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Bipartite doubles
Last updated: 19 January 2017