graph_from_atlas()
creates graphs from the book
‘An Atlas of Graphs’ by
Roland C. Read and Robin J. Wilson. The atlas contains all undirected
graphs with up to seven vertices, numbered from 0 up to 1252. The
graphs are listed:
in increasing order of number of nodes;
for a fixed number of nodes, in increasing order of the number of edges;
for fixed numbers of nodes and edges, in increasing order of the degree sequence, for example 111223 < 112222;
for fixed degree sequence, in increasing number of automorphisms.
See also
Other deterministic constructors:
graph_from_edgelist()
,
graph_from_literal()
,
make_chordal_ring()
,
make_empty_graph()
,
make_full_citation_graph()
,
make_full_graph()
,
make_graph()
,
make_lattice()
,
make_ring()
,
make_star()
,
make_tree()
Examples
## Some randomly picked graphs from the atlas
graph_from_atlas(sample(0:1252, 1))
#> IGRAPH d1645ab U--- 7 15 -- Graph from the Atlas #1197
#> + attr: name (g/c), n (g/n)
#> + edges from d1645ab:
#> [1] 1--2 1--3 1--4 1--5 1--6 1--7 2--6 2--7 3--5 3--6 3--7 4--5 4--6 4--7 5--7
graph_from_atlas(sample(0:1252, 1))
#> IGRAPH 95d9b3f U--- 6 7 -- Graph from the Atlas #112
#> + attr: name (g/c), n (g/n)
#> + edges from 95d9b3f:
#> [1] 1--2 2--5 3--5 3--4 2--6 3--6 2--3