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igraph (version 1.2.7)

is_separator: Vertex separators

Description

Check whether a given set of vertices is a vertex separator.

Usage

is_separator(graph, candidate)

Arguments

graph

The input graph. It may be directed, but edge directions are ignored.

candidate

A numeric vector giving the vertex ids of the candidate separator.

Value

A logical scalar, whether the supplied vertex set is a (minimal) vertex separator or not.

Details

is_separator decides whether the supplied vertex set is a vertex separator. A vertex set is a vertex separator if its removal results a disconnected graph.

In the special case of a fully connected graph with \(n\) vertices, each set of \(n-1\) vertices is considered to be a vertex separator.

See Also

is_min_separator, min_separators lists all vertex separator of minimum size.