This is a subset of the Census of small connected cubic vertex-transitive graphs. 

Flag graphs, 1-skeletons and 1-coskeletons of the regular 4-maniplexes in the SymIO collection, each in canonical form, cross-linked to the House of Graphs and to Potočnik's tetravalent graph censuses.

Canonical sparse6 encoding, computed with Traces.

Degrees of the vertices, in non-decreasing order.

Identifier of this graph in House of Graphs.

Identifier of this graph in Edge-transitive tetravalent graphs.

Identifier of this graph in Arc-transitive tetravalent graphs.

Identifier of this graph in 2-arc-transitive tetravalent graphs.

Regular 4-maniplexes, together with the canonical forms of their flag graph, 1-skeleton and 1-coskeleton. Join to the graph collection on the sparse6 string.

Identifier of the maniplex in the source database.

Symmetry type of the maniplex; regular throughout this collection.

Generators of the automorphism group, as a list of permutations.

Group of colour permutations the flag graph edge coloring is minimized over.

Canonical sparse6 encoding of the flag graph.

Edge coloring of the flag graph. The full lsparse6 encoding is the flag graph sparse6, then "#", then this value.

Canonical sparse6 encoding of the 1-skeleton. Parallel edges and loops are dropped: this is the canonical labeling of the underlying simple graph, not of the multigraph.

Canonical sparse6 encoding of the 1-coskeleton. Parallel edges and loops are dropped: this is the canonical labeling of the underlying simple graph, not of the multigraph.

Pick a dataset

Cubic vertex-transitive graphs of order at most $30$ (66 items)

Graphs of rotary 4-maniplexes (12568 items)

Rotary 4-maniplexes (32634 items)

Pick a dataset

Cubic vertex-transitive graphs of order at most 303030 (66 items)

Graphs of rotary 4-maniplexes (12568 items)

Rotary 4-maniplexes (32634 items)

Cubic vertex-transitive graphs of order at most $30$ (66 items)