Use this if you are using igraph from R

isomorphism_class {igraph} | R Documentation |

The isomorphism class is a non-negative integer number. Graphs (with the same number of vertices) having the same isomorphism class are isomorphic and isomorphic graphs always have the same isomorphism class. Currently it can handle directed graphs with 3 or 4 vertices and undirected graphs with 3 to 6 vertices.

```
isomorphism_class(graph, v)
```

`graph` |
The input graph. |

`v` |
Optionally a vertex sequence. If not missing, then an induced subgraph of the input graph, consisting of this vertices, is used. |

An integer number.

Other graph isomorphism:
`count_isomorphisms()`

,
`count_subgraph_isomorphisms()`

,
`graph_from_isomorphism_class()`

,
`isomorphic()`

,
`isomorphisms()`

,
`subgraph_isomorphic()`

,
`subgraph_isomorphisms()`

```
# create some non-isomorphic graphs
g1 <- graph_from_isomorphism_class(3, 10)
g2 <- graph_from_isomorphism_class(3, 11)
isomorphism_class(g1)
isomorphism_class(g2)
isomorphic(g1, g2)
```

[Package *igraph* version 1.3.1 Index]