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author | S. Solomon Darnell | 2025-03-28 21:52:21 -0500 |
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committer | S. Solomon Darnell | 2025-03-28 21:52:21 -0500 |
commit | 4a52a71956a8d46fcb7294ac71734504bb09bcc2 (patch) | |
tree | ee3dc5af3b6313e921cd920906356f5d4febc4ed /.venv/lib/python3.12/site-packages/networkx/algorithms/approximation/clustering_coefficient.py | |
parent | cc961e04ba734dd72309fb548a2f97d67d578813 (diff) | |
download | gn-ai-master.tar.gz |
Diffstat (limited to '.venv/lib/python3.12/site-packages/networkx/algorithms/approximation/clustering_coefficient.py')
-rw-r--r-- | .venv/lib/python3.12/site-packages/networkx/algorithms/approximation/clustering_coefficient.py | 71 |
1 files changed, 71 insertions, 0 deletions
diff --git a/.venv/lib/python3.12/site-packages/networkx/algorithms/approximation/clustering_coefficient.py b/.venv/lib/python3.12/site-packages/networkx/algorithms/approximation/clustering_coefficient.py new file mode 100644 index 00000000..545fc655 --- /dev/null +++ b/.venv/lib/python3.12/site-packages/networkx/algorithms/approximation/clustering_coefficient.py @@ -0,0 +1,71 @@ +import networkx as nx +from networkx.utils import not_implemented_for, py_random_state + +__all__ = ["average_clustering"] + + +@not_implemented_for("directed") +@py_random_state(2) +@nx._dispatchable(name="approximate_average_clustering") +def average_clustering(G, trials=1000, seed=None): + r"""Estimates the average clustering coefficient of G. + + The local clustering of each node in `G` is the fraction of triangles + that actually exist over all possible triangles in its neighborhood. + The average clustering coefficient of a graph `G` is the mean of + local clusterings. + + This function finds an approximate average clustering coefficient + for G by repeating `n` times (defined in `trials`) the following + experiment: choose a node at random, choose two of its neighbors + at random, and check if they are connected. The approximate + coefficient is the fraction of triangles found over the number + of trials [1]_. + + Parameters + ---------- + G : NetworkX graph + + trials : integer + Number of trials to perform (default 1000). + + seed : integer, random_state, or None (default) + Indicator of random number generation state. + See :ref:`Randomness<randomness>`. + + Returns + ------- + c : float + Approximated average clustering coefficient. + + Examples + -------- + >>> from networkx.algorithms import approximation + >>> G = nx.erdos_renyi_graph(10, 0.2, seed=10) + >>> approximation.average_clustering(G, trials=1000, seed=10) + 0.214 + + Raises + ------ + NetworkXNotImplemented + If G is directed. + + References + ---------- + .. [1] Schank, Thomas, and Dorothea Wagner. Approximating clustering + coefficient and transitivity. Universität Karlsruhe, Fakultät für + Informatik, 2004. + https://doi.org/10.5445/IR/1000001239 + + """ + n = len(G) + triangles = 0 + nodes = list(G) + for i in [int(seed.random() * n) for i in range(trials)]: + nbrs = list(G[nodes[i]]) + if len(nbrs) < 2: + continue + u, v = seed.sample(nbrs, 2) + if u in G[v]: + triangles += 1 + return triangles / trials |