DistanceRegular.org
$\text{Pappus graph} \cong \text{ Incidence graph of } AG(2,3) \text{ minus a parallel class}$
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:
$\text{Yes}$
Bipartite, Antipodal
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Andries Brouwer}$
$\text{Wikipedia}$
$\text{Wolfram}$
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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
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Incidence Graphs
Last updated: 31 March 2019