# diameter.linnet

0th

Percentile

##### Circumradius and Diameter of a Linear Network

Compute the circumradius or diameter of a linear network measured using the shortest path distance.

Keywords
spatial, math
##### Usage
## S3 method for class 'linnet':
circumradius(x, \dots)## S3 method for class 'linnet':
diameter(x)
##### Arguments
x
Linear network (object of class "linnet").
...
Ignored.
##### Details

The diameter of a linear network (in the shortest path distance) is the maximum value of the shortest-path distance between any two points $u$ and $v$ on the network.

The circumradius of a linear network (in the shortest path distance) is the minimum value, over all points $u$ on the network, of the maximum shortest-path distance from $u$ to another point $v$ on the network. The functions circumradius and diameter are generic; the functions circumradius.linnet and diameter.linnet are the methods for objects of class linnet.

##### Value

• A single numeric value.

circumradius, diameter, linnet

##### Aliases
diameter(simplenet)
circumradius(simplenet)