DistanceRegular.org
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:
Yes
Bipartite, Antipodal
Downloads
Adjacency matrix
Adjacency matrix in GAP format
Adjacency matrix in CSV format
Graph in GRAPE format
Links
Andries Brouwer: Desargues graph
Wikipedia: Desargues graph
Wolfram: Desargues graph
Wikipedia: Bipartite Double Cover
Wolfram: Bipartite Double Graph
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Graphs with up to 50 vertices
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Graphs with diameter 5
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Graphs with valency 3
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Bipartite doubles
Last updated: 19 January 2017