DistanceRegular.org
Line graph of Tutte's 8-cage
Number of vertices:
$45$
Diameter:
$4$
Intersection array:
$\{4,2,2,2;1,1,1,2\}$
Spectrum:
$4^1 3^9 1^{10} (-1)^9 (-2)^{16}$
Automorphism group:
$\mathrm{Aut}(S_6)$
Distance-transitive:
Yes
Primitive
Downloads
Adjacency matrix
Adjacency matrix in GAP format
Adjacency matrix in CSV format
Graph in GRAPE format
Links
Wikipedia: Line graph
Wolfram: Line graph
Andries Brouwer: Tutte's 8-cage
Wikipedia: Tutte's 8-cage
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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 4
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Line Graphs
Last updated: 4 February 2017