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Produces a low-dimensional representation of the input graph

Project description

Produces a low-dimensional representation of the input graph.

Calculates the ECTD [1] of the graph and reduces its dimension using PCA. The result is an embedding of the graph nodes as vectors in a low-dimensional space.

Graph data in this repository is courtesy of the mind-blowingly cool University of Florida Sparse Matrix Collection.

Python 3.x and 2.6+.

Usage

Draw a graph, including edges, from a mat file

>>> import scipy.io
>>> import networkx as nx
>>> import graphpca
>>> mat = scipy.io.loadmat('test/bcspwr01.mat')
>>> A = mat['Problem'][0][0][1].todense()  # that's just how the file came
>>> G = nx.from_numpy_matrix(A)
>>> graphpca.draw_graph(G)
output/bcspwr01-drawing.png

Get a 2D PCA of a high-dimensional graph and plot it.

>>> import networkx as nx
>>> import graphpca
>>> g = nx.erdos_renyi_graph(1000, 0.2)
>>> g_2 = graphpca.reduce_graph(g, 2)
>>> graphca.plot_2d(g_2)
output/erg-1000.png

Contributing

Issues and Pull requests are very welcome! [On GitHub](https://github.com/brandones/graphpca).

[1]https://www.info.ucl.ac.be/~pdupont/pdupont/pdf/ecml04.pdf

Project details


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