radius

0th

Percentile

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.

Aliases
  • radius
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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