trop_bal.vert {TML}

Calculate the minimum generating vertex set of a tropical ball

Description

This function calculates the coordinates of the minimum or entire vertex set of a tropical ball given a center point

Usage

trop_bal.vert(x, d, al = FALSE)

Arguments

x

matrix where each row is a point defining a tropical polytope

d

radius of the tropical ball in terms of tropical distance

al

logical; TRUE or FALSE to determine whether to enumerate all vertices of the tropical ball

Value

matrix of normalized tropical points defining the tropical ball. Rows are the points

Author(s)

David Barnhill [e-mail]

References

Barnhill, David, Ruriko Yoshida and Keiji Miura (2023). Maximum Inscribed and Minimum Enclosing Tropical Balls of Tropical Polytopes and Applications to Volume Estimation and Uniform Sampling.

Examples

x <-c(0,3,7,5)
d <- 2
trop_bal.vert(x,d)
trop_bal.vert(x,d,al=TRUE)