pypivoter 0.0.5

Count or list the cliques in a graph using the Pivoter algorithm.

PyPivoter

Purpose

The purpose of this package is to count and/or list the cliques, or fully-connected subgraphs, within a graph using the fast Pivoter algorithm developed by Shweta Jain and C. Seshadhri.

Installation

From a repository checkout

make install

or

CYTHONIZE=1 pip install --user .

From PyPi

pip install --user pypivoter

Use

The two main functions available to the user are countCliques and enumerateCliques, which can be imported as follows:

>> from pypivoter.degeneracy_cliques import countCliques, enumerateCliques

Both take two arguments. The first is an m x 2 NumPy array of integer indices of vertex pairs that comprise the edges of a graph, with no repeated or reversed pairs or self-adjacency. The second is an integer, the maximum clique size to output. If the second argument is 0, all sizes will be output.

Example output from countCliques is:

>> import numpy as np
>> from pypivoter.degeneracy_cliques import countCliques
>> tetrahedron = np.array([[0, 1], [0, 2], [0, 3], [1, 2], [1, 3], [2, 3]])
>> countCliques(tetrahedron, 0)
[1 4 6 4 1]

Example output from enumerateCliques is:

>> import numpy as np
>> from pypivoter.degeneracy_cliques import enumerateCliques
>> tetrahedron = np.array([[0, 1], [0, 2], [0, 3], [1, 2], [1, 3], [2, 3]])
>> enumerateCliques(tetrahedron, 0)
[array([], shape=(0, 0), dtype=int32), array([[0],
       [1],
       [2],
       [3]], dtype=int32), array([[1, 0],
       [2, 0],
       [2, 1],
       [3, 1],
       [3, 0],
       [3, 2]], dtype=int32), array([[2, 0, 1],
       [3, 1, 0],
       [3, 1, 2],
       [3, 0, 2]], dtype=int32), array([[3, 1, 0, 2]], dtype=int32)]