cooptrees (version 1.0)

maIrreducible: Irreducible form for a minimum cost arborescence problem

Description

Given a graph with at least one minimum cost arborescence the maIrreducible function obtains the irreducible form.

Usage

maIrreducible(nodes, arcs)

Arguments

nodes

vector containing the nodes of the graph, identified by a number that goes from $1$ to the order of the graph.

arcs

matrix with the list of arcs of the graph. Each row represents one arc. The first two columns contain the two endpoints of each arc and the third column contains their weights.

Value

maIrreducible returns a matrix with the list of arcs of the irreducible form.

Examples

# Graph
nodes <- 1:4
arcs <- matrix(c(1,2,7, 1,3,6, 1,4,4, 2,3,8, 2,4,6, 3,2,6,
                 3,4,5, 4,2,5, 4,3,7), ncol = 3, byrow = TRUE)
# Irreducible form
maIrreducible(nodes, arcs)