maCooperative

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Cooperation in minimum cost arborescence problems

Given a graph with at least one minimum cost arborescence, the maCooperative function computes the cooperative and "Bird" and "ERO" rules.

Usage
maCooperative(nodes, arcs, show.data = TRUE)
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.
show.data
logical value indicating if the function displays the console output (TRUE) or not (FALSE). By default its value is TRUE.
Value

maCooperative returns and prints a list with the cooperative games and allocation rules of a minimum cost arborescence problem.

Aliases
  • maCooperative
Examples
# Graph
nodes <- 1:4
arcs <- matrix(c(1,2,2, 1,3,3, 1,4,4, 2,3,3, 2,4,4, 3,2,3,
                 3,4,1, 4,2,1, 4,3,2), ncol = 3, byrow = TRUE)
# Cooperation in minimum cost arborescence problems
maCooperative(nodes, arcs)
Documentation reproduced from package cooptrees, version 1.0, License: GPL-3

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