# is_separator

From igraph v1.2.4.2
by Gabor Csardi

##### Vertex separators

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.

##### 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.

##### Value

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

##### See Also

`is_min_separator`

, `min_separators`

lists all vertex separator of minimum size.

*Documentation reproduced from package igraph, version 1.2.4.2, License: GPL (>= 2)*

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