maBird: Bird rule for minimum cost arborescence problems
Description
Given a graph with a minimum cost arborescence, the
maBird function divides the cost of this
arborescence among the agents. For that purpose it, uses
the Bird rule, where each agent pays the cost of the last
arc that connects him to the source.
Usage
maBird(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
maBird returns a matrix with the agents and their
costs.