cooptrees (version 1.0)

mstPessimistic: Pessimistic game from a minimum cost spanning tree problem

Description

Given a graph with at least one minimum cost spanning tree, the mstPessimistic function builds the pessimistic game.

Usage

mstPessimistic(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

mstPessimistic returns a vector with the characteristic function of the pessimistic game.

See Also

The more general function mstGames.

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)
# Pessimistic game
mstPessimistic(nodes, arcs)