# radius

From igraph v1.0.0
by Gabor Csardi

##### Radius of a graph

The eccentricity of a vertex is its shortest path distance from the farthest other node in the graph. The smallest eccentricity in a graph is called its radius

##### Usage

`radius(graph, mode = c("all", "out", "in", "total"))`

##### Arguments

- graph
- The input graph, it can be directed or undirected.
- mode
- Character constant, gives whether the shortest paths to or from
the given vertices should be calculated for directed graphs. If
`out`

then the shortest paths*from*the vertex, if`in`

then*to*it will be considered. I

##### Details

The eccentricity of a vertex is calculated by measuring the shortest distance from (or to) the vertex, to (or from) all vertices in the graph, and taking the maximum.

This implementation ignores vertex pairs that are in different components. Isolate vertices have eccentricity zero.

##### Value

- A numeric scalar, the radius of the graph.

##### References

Harary, F. Graph Theory. Reading, MA: Addison-Wesley, p. 35, 1994.

##### See Also

`eccentricity`

for the underlying
calculations, code{distances} for general shortest path
calculations.

##### Examples

```
g <- make_star(10, mode="undirected")
eccentricity(g)
radius(g)
```

*Documentation reproduced from package igraph, version 1.0.0, License: GPL (>= 2)*

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