Dyck graph

Other names:    F032A       torus-h-4-4   


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

Statistics

It has degree 3, with 32 vertices and 48 edges.
It has girth 6, diameter 5 and radius 5.
Its symmetry group has 192 elements.
It is bipartite.
It is Hamiltonian.
It is symmetric.
It is 2-arc-transitive.
Its distance-list is 1,3,6,9,9,4.

Link

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

Regular maps

Dyck graph is the skeleton of {6,3}(4,4)
Dyck graph is the skeleton of the Dyck map
Dyck graph is the skeleton of R21.19′ with muliplicity 2
Dyck graph is the skeleton of R25.22′ with muliplicity 2
Dyck graph is the skeleton of R17.19 with muliplicity 2
Dyck graph is the skeleton of R21.16′ with muliplicity 2
Dyck graph is the skeleton of R49.61′ with muliplicity 3
Dyck graph is the skeleton of R39.5 with muliplicity 3
Dyck graph is the skeleton of R69.32′ with muliplicity 4
Dyck graph is the skeleton of R57.21 with muliplicity 4
Dyck graph is the skeleton of R65.124′ with muliplicity 4
Dyck graph is the skeleton of R49.48 with muliplicity 4
Dyck graph is the skeleton of R73.96′ with muliplicity 4
Dyck graph is the skeleton of R57.22 with muliplicity 4
Dyck graph is the skeleton of R73.97′ with muliplicity 4
Dyck graph is the skeleton of R57.23 with muliplicity 4
Dyck graph is the skeleton of R69.31′ with muliplicity 4
Dyck graph is the skeleton of R57.20 with muliplicity 4
Dyck graph is the skeleton of R65.120 with muliplicity 4
Dyck graph is the skeleton of R49.47 with muliplicity 4
Dyck graph is the skeleton of R99.28′ with muliplicity 5
Dyck graph is the skeleton of R65.61 with muliplicity 5
Dyck graph is the skeleton of R97.119′ with muliplicity 5
Dyck graph is the skeleton of R75.7 with muliplicity 5
Dyck graph is the skeleton of R93.12 with muliplicity 6
Dyck graph is the skeleton of R93.8 with muliplicity 6
Dyck graph is the skeleton of R97.85 with muliplicity 7

Dual graphs

Dyck graph is the dual of K4,4,4 in the orientable surface of order 3
Dyck graph is the dual of Shrikhande graph in the torus


For copyright details of Wikipedia image see   Dyck_graph.svg.


Lists of Graphs
Index to Regular Maps