Pappus graph

Other names:    F018A       torus-h-3-3   


Pappus graph diagram, © Wikipedia
Pappus graph diagram, © N.S.Wedd
Pappus graph diagram, © N.S.Wedd

Statistics

It has degree 3, with 18 vertices and 27 edges.
It has girth 6, diameter 4 and radius 4.
Its symmetry group has 216 elements.
It is bipartite.
It is Hamiltonian.
It is symmetric.
It is 3-arc-transitive.
Its distance-list is 1,3,6,6,2.

Link

http://en.wikipedia.org/wiki/Pappus_graph

Regular maps

Pappus graph is the skeleton of {6,3}(3,3)
Pappus graph is the skeleton of N29.4′ with muliplicity 2
Pappus graph is the skeleton of R10.15 with muliplicity 2
Pappus graph is the skeleton of R19.14 with muliplicity 3
Pappus graph is the skeleton of R19.15 with muliplicity 3
Pappus graph is the skeleton of R19.16 with muliplicity 3
Pappus graph is the skeleton of R19.17 with muliplicity 3
Pappus graph is the skeleton of R28.26′ with muliplicity 3
Pappus graph is the skeleton of R28.27′ with muliplicity 3
Pappus graph is the skeleton of R28.19 with muliplicity 4
Pappus graph is the skeleton of R37.41 with muliplicity 4
Pappus graph is the skeleton of R55.45′ with muliplicity 5
Pappus graph is the skeleton of R37.31 with muliplicity 5
Pappus graph is the skeleton of R46.20 with muliplicity 6
Pappus graph is the skeleton of R46.21 with muliplicity 6
Pappus graph is the skeleton of R46.22 with muliplicity 6
Pappus graph is the skeleton of R64.30′ with muliplicity 6
Pappus graph is the skeleton of R64.33′ with muliplicity 6
Pappus graph is the skeleton of R46.19 with muliplicity 6
Pappus graph is the skeleton of R55.28 with muliplicity 7
Pappus graph is the skeleton of R82.74′ with muliplicity 7
Pappus graph is the skeleton of R64.17 with muliplicity 8
Pappus graph is the skeleton of R91.59′ with muliplicity 8
Pappus graph is the skeleton of R91.52 with muliplicity 8
Pappus graph is the skeleton of R82.70 with muliplicity 8
Pappus graph is the skeleton of R73.62 with muliplicity 9
Pappus graph is the skeleton of R73.61 with muliplicity 9
Pappus graph is the skeleton of R73.60 with muliplicity 9
Pappus graph is the skeleton of R82.43 with muliplicity 10
Pappus graph is the skeleton of R91.33 with muliplicity 11
Pappus graph is the skeleton of R100.16 with muliplicity 12
Pappus graph is the skeleton of R100.17 with muliplicity 12
Pappus graph is the skeleton of R100.18 with muliplicity 12
Pappus graph is the skeleton of R100.19 with muliplicity 12

Dual graphs

Pappus graph is the dual of K3,3,3 in the torus


For copyright details of Wikipedia image see   Pappus_graph.svg.


Lists of Graphs
Index to Regular Maps