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jaccard_coefficient(G, ebunch=None)

Jaccard coefficient of nodes u and :None:None:`v` is defined as

$$\frac{|\Gamma(u) \cap \Gamma(v)|}{|\Gamma(u) \cup \Gamma(v)|}$$

where $\Gamma(u)$ denotes the set of neighbors of $u$.

Parameters

G : graph

A NetworkX undirected graph.

ebunch : iterable of node pairs, optional (default = None)

Jaccard coefficient will be computed for each pair of nodes given in the iterable. The pairs must be given as 2-tuples (u, v) where u and v are nodes in the graph. If ebunch is None then all non-existent edges in the graph will be used. Default value: None.

Returns

piter : iterator

An iterator of 3-tuples in the form (u, v, p) where (u, v) is a pair of nodes and p is their Jaccard coefficient.

Compute the Jaccard coefficient of all node pairs in ebunch.

Examples

>>> G = nx.complete_graph(5)
... preds = nx.jaccard_coefficient(G, [(0, 1), (2, 3)])
... for u, v, p in preds:
...  print(f"({u}, {v}) -> {p:.8f}") (0, 1) -> 0.60000000 (2, 3) -> 0.60000000
See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

networkx.algorithms.link_prediction.jaccard_coefficient

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /networkx/algorithms/link_prediction.py#97
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