all_simple_paths generates AttributeError for graphs

asked 2024-01-31 01:16:27 +0200

Minimum working example (which causes error on CoCalc, but also on my own machine):

G = graphs.CompleteGraph(5)
G.all_paths(1,3)
G.all_simple_paths()

This gives an error saying that "all_simple_paths" is not an attribute for the "Graph" object, even though the function is present in the sage.graphs.path_enumeration module, where all_paths is from the line above, which works just fine. I have checked other functions in the module and found that other than all_paths, shortest_simple_paths seems to be the only other one in this module which works. The rest also give attribute errors.

I am wanting to use the all_simple_paths function due to its ability to have accept a list of starting and ending vertices, instead of just one start and end like the all_paths function. However, it refuses to work. Trying to import the module manually does not seem to effect anything. Does anyone know why this function does not work?

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Comments

See https://doc.sagemath.org/html/en/refe...

Max Alekseyev ( 2024-01-31 02:16:14 +0200 )edit

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answered 2024-01-31 01:44:48 +0200

John Palmieri

8551 ●19 ●71 ●186 http://www.math.washin...

all_simple_paths is defined for directed graphs (instances of DiGraph in Sage) but not for general graphs. This should work:

G = digraphs.Complete(5)  # not graphs.CompeteGraph(5)
G.all_paths(1,3)
G.all_simple_paths()

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The fact that all_simple_pathis not implemented for undirected graphs is not documented. It should. (Or this method should be implemented for undirected graph, if the thing is possible...).