# The canonical labels in SageMath are different from those in nauty.

Here are the canonical labels obtained from SageMath:

```
sage: g=Graph('E{EG').canonical_label()
sage: for vertex in g.vertices():
....: neighbors = g.neighbors(vertex)
....: print(f"Vertex {vertex}: {neighbors}")
Vertex 5: [1, 2, 3, 4]
Vertex 1: [5, 2]
Vertex 2: [5, 1]
Vertex 3: [5, 0]
Vertex 0: [3, 4]
Vertex 4: [5, 0]
```

However, for the same graph, the canonical labels I obtained using nauty are as follows.

```
echo 'E{EG' |labelg |showg
Graph 1, order 6.
0 : 4 5;
1 : 4 5;
2 : 3 5;
3 : 2 5;
4 : 0 1;
5 : 0 1 2 3;
```

As we see, the canonical labels in SageMath are different from those in nauty. Consequently, the graph6 strings they produce are also different.

Nauty: E@ro (by running `echo 'E{EG' |labelg`

)

Sage: EK`w (by running `Graph('E{EG').canonical_label().graph6_string()`

)

Is it a bug? I would like to ask if there is a command in SageMath to make it consistent with the software nauty .