# Revision history [back]

### 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: EKw (by running Graph('E{EG').canonical_label().graph6_string())

I would like to ask if there is a command in SageMath to make it consistent with the Nauty software.

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

Here are the canonical labels obtained from SageMath: SageMath:

    sage: g=Graph('E{EG').canonical_label()
sage: for vertex in g.vertices():
....:         neighbors = g.neighbors(vertex)
....:         print(f"Vertex {vertex}: {neighbors}") {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: EKw (by running Graph('E{EG').canonical_label().graph6_string()) I would like to ask if there is a command in SageMath to make it consistent with the Nauty software. 


 3 None updated 2024-07-21 14:39:23 +0200 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: EKw (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 Nauty software. 4 None updated 2024-07-21 14:41:47 +0200 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 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: EKw (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 Nauty software. software nauty . 5 None updated 2024-07-21 14:42:05 +0200 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. nauty. Consequently, the graph6 strings they produce are also different. Nauty: E@ro (by running echo 'E{EG' |labelg) Sage: EKw (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 . 6 None updated 2024-07-21 14:42:07 +0200 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: EKw (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 . 7 None updated 2024-07-21 14:43:09 +0200 The canonical labels in SageMath are different from those in Nauty.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: EKw (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 . 
 
 
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