How to deal with Residual Graphs in SageMath for Edmond-Karp algorithm












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I am working with Sagemath and Python to model oriented and non-oriented graphs in Graph Theory. The professor has asked us to write the Edmond-Karp algorithm in Python so as to work out the maximum flow from source to sink in a directed graph. He hinted to use labels in Sagemath to work with residual graphs. I learned about labels and am able to use them but I am no closer to making a residual graph. I'd like to know how I can model a residual graph in Sagemath.



The following is how I am making a graph with labels:



edge_list = [(0, 1, 5), (0, 2, 7), 1(1, 2, 13)];
g1 = DiGraph(edge_list, weighted=True);
g1.show(edge_labels=True);


This shows me an oriented graph with the edges.
Lastly, this may be another question but I'd like to also know if finding the shortest path in Edmond-Karp algorithm, should I consider using Dijikstra?



Thank you :)










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    I am working with Sagemath and Python to model oriented and non-oriented graphs in Graph Theory. The professor has asked us to write the Edmond-Karp algorithm in Python so as to work out the maximum flow from source to sink in a directed graph. He hinted to use labels in Sagemath to work with residual graphs. I learned about labels and am able to use them but I am no closer to making a residual graph. I'd like to know how I can model a residual graph in Sagemath.



    The following is how I am making a graph with labels:



    edge_list = [(0, 1, 5), (0, 2, 7), 1(1, 2, 13)];
    g1 = DiGraph(edge_list, weighted=True);
    g1.show(edge_labels=True);


    This shows me an oriented graph with the edges.
    Lastly, this may be another question but I'd like to also know if finding the shortest path in Edmond-Karp algorithm, should I consider using Dijikstra?



    Thank you :)










    share|improve this question

























      0












      0








      0








      I am working with Sagemath and Python to model oriented and non-oriented graphs in Graph Theory. The professor has asked us to write the Edmond-Karp algorithm in Python so as to work out the maximum flow from source to sink in a directed graph. He hinted to use labels in Sagemath to work with residual graphs. I learned about labels and am able to use them but I am no closer to making a residual graph. I'd like to know how I can model a residual graph in Sagemath.



      The following is how I am making a graph with labels:



      edge_list = [(0, 1, 5), (0, 2, 7), 1(1, 2, 13)];
      g1 = DiGraph(edge_list, weighted=True);
      g1.show(edge_labels=True);


      This shows me an oriented graph with the edges.
      Lastly, this may be another question but I'd like to also know if finding the shortest path in Edmond-Karp algorithm, should I consider using Dijikstra?



      Thank you :)










      share|improve this question














      I am working with Sagemath and Python to model oriented and non-oriented graphs in Graph Theory. The professor has asked us to write the Edmond-Karp algorithm in Python so as to work out the maximum flow from source to sink in a directed graph. He hinted to use labels in Sagemath to work with residual graphs. I learned about labels and am able to use them but I am no closer to making a residual graph. I'd like to know how I can model a residual graph in Sagemath.



      The following is how I am making a graph with labels:



      edge_list = [(0, 1, 5), (0, 2, 7), 1(1, 2, 13)];
      g1 = DiGraph(edge_list, weighted=True);
      g1.show(edge_labels=True);


      This shows me an oriented graph with the edges.
      Lastly, this may be another question but I'd like to also know if finding the shortest path in Edmond-Karp algorithm, should I consider using Dijikstra?



      Thank you :)







      python graph-theory sage






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      asked Nov 23 '18 at 2:22









      simptrisimptri

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