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Flow gives error for disconnected vertices

asked 2018-03-07 13:21:06 +0200

Acksl gravatar image

updated 2023-01-09 23:59:45 +0200

tmonteil gravatar image

When calculating the flow between to vertices which are not connected in a graph, the method returns a ValueError. I would have assumed that it would just return 0. Here's a minimal example:

G.flow(0,1) # raises the error ValueError: vertex '0' is not in the (di)graph

If on the other hand one tries the shortest_path method it just returns a empty list, since there is not path between 0 and 1.

G.shortest_path(0,1) #returns []
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answered 2018-03-07 16:34:33 +0200

tmonteil gravatar image

updated 2018-03-07 16:35:32 +0200

Thanks for reporting, this is now trac ticket 24925. As you can see on the explanations on the ticket, the implementation of Ford Fulkerson algorithm does not handle unconnected vertices correctly.

The possible workarounds are:

  • use the 'LP' algorithm:

    sage: G.flow(0,1, algorithm='LP')
  • install python_igraph so that Sage will use it by default:

    from a shell:

    sage -i python_igraph

    then within Sage:

    sage: G.flow(0,1)
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Asked: 2018-03-07 13:21:06 +0200

Seen: 216 times

Last updated: Mar 07 '18