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volume(G, S, weight=None)

The volume of a set S is the sum of the (out-)degrees of nodes in S (taking into account parallel edges in multigraphs). [1]

Parameters

G : NetworkX graph
S : collection

A collection of nodes in G.

weight : object

Edge attribute key to use as weight. If not specified, edges have weight one.

Returns

number

The volume of the set of nodes represented by S in the graph G.

Returns the volume of a set of nodes.

See Also

conductance
cut_size
edge_boundary
edge_expansion
normalized_cut_size

Examples

See :

Back References

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

networkx.algorithms.cuts.normalized_cut_size networkx.algorithms.cuts.conductance

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/cuts.py#86
type: <class 'function'>
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