cooptrees (version 1.0)

mstEROKruskal: ERO rule for minimum cost spanning tree problems with Kruskal's algorithm

Description

Given a graph with at least one minimum cost spanning tree, the mstEROKruskal function divides the cost of the tree among the agents according to the ERO rule.

Usage

mstEROKruskal(nodes, arcs)

Arguments

nodes

vector containing the nodes of the graph, identified by a number from $1$ until 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

mstEROKruskal returns a matrix with the agents and their costs.

See Also

The more general function mstRules.

Examples

# Graph
nodes <- 1:4
arcs <- matrix(c(1,2,6, 1,3,10, 1,4,6, 2,3,4, 2,4,6, 3,4,4),
               byrow = TRUE, ncol = 3)
# ERO with Kruskal
mstEROKruskal(nodes, arcs)