mstBird: Bird rule for minimum cost spanning tree problems
Description
Given a graph with at least one minimum cost spanning tree,
the mstBird function divides the cost of the tree
obtained with Prim's algorithm among the agents. For that
purpose it uses the Bird rule, where each agent pays the
cost of the arc that connects him to the tree source.
Usage
mstBird(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
mstBird returns a matrix with the agents and their
costs.