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    Computational Topology - Vietoris-Rips Complex Graph

    Asked Sep 14, 2017, 09:09 PM — 2 Answers
    Write code in Python for the function RipsGraph(P,d) as follows.


    - Inputs:


    - P : a set of points P belonging to R2 given as a k x 2 numpy matrix
    - d : a diameter d >= 0

    -Output:

    - a networkx graph which is the 1-skeleton of the Rips complex VR(P, d).


    Create a point set of 15 random points in the box [0, 1]x[0, 1]. Draw this graph as an overlay on the points.

    Note: I have little to no programming skills, so I'm just learning. Please bear with me.

    Here's my work so far:

    import numpy as np
    import networkx as nx
    P = np.random.random((15,2)) #each point is row in matrix
    from scipy.spatial import distance-matrix
    plt.matshow(distance-matrix(P,P))
    row,col = np.where(D<???) #must find point with distance <???... not sure what distance to use
    print(row[:10],'\n',col[:10]) - slicing matrix

    #Next, I must remove duplicates and any point where col>row.. by slicing the matrix with specific parameters..
    #Then, I must tell networkx where I want the vertices, so it can produce the edges for the 1-skeleton

    Any help is greatly appreciated. Thanks!

    Last edited by moh533; Sep 15, 2017 at 06:55 AM. Reason: Forgot to add work
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    2 Answers
    smoothy's Avatar
    smoothy Posts: 25,496, Reputation: 2852
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    #2

    Sep 14, 2017, 09:36 PM
    Homework rules on this site REQUIRE you provide your works AND what you think the answer is. You forgot to cut and paste those.
    Helpful
    moh533's Avatar
    moh533 Posts: 5, Reputation: 1
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    #3

    Sep 15, 2017, 06:55 AM
    Woops, sorry about that. Just edited it.
    Helpful

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