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$\text{Heawood graph }\cong \text{ Incidence Graph of }PG(2,2)$
$\cong\text{ Incidence graph of Hadamard }(7,3,1)\text{-design}$
Number of vertices:
$14$
Diameter:
$3$
Intersection array:
$\{3,2,2; 1,1,3\}$
Spectrum:
$3^1 (\sqrt{2})^6 (-\sqrt{2})^6 (-3)^1$
Automorphism group:
$Aut(PSL(3,2)) \cong PSL(3,2):2 \cong PGL(2,7)$
Distance-transitive:
$\text{Yes}$
Bipartite
$\text{Downloads}$
$\text{Adjacency matrix}$
$\text{Adjacency matrix in GAP format}$
$\text{Adjacency matrix in CSV format}$
$\text{Graph in GRAPE format}$
$\text{Links}$
$\text{Andries Brouwer}$
$\text{Wikipedia}$
$\text{Wolfram}$
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A-Z index
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Graphs with up to 50 vertices
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Graphs with diameter 3
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Graphs with valency 3
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Incidence Graphs
See also:
Distance-3 graph of Heawood graph
Last updated: 31 March 2019