DistanceRegular.org
Pappus graph $\cong$ Incidence graph of $AG(2,3)$ minus a parallel class
Number of vertices:
$18$
Diameter:
$4$
Intersection array:
$\{3,2,2,1; 1,1,2,3\}$
Spectrum:
$3^1 (\sqrt{3})^6 (0)^4 (-\sqrt{3})^6 (-3)^1$
Automorphism group:
$3^2:3:D_8$
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
Wikipedia
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
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Incidence Graphs
Last updated: 31 March 2019