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Finds the minimum cost arborescence of a graph, returning both the cost and the pairs of nodes for the edges in the arborescence.

Usage

MinCostArborescence(
  arcSources,
  arcTargets,
  arcDistances,
  sourceNode,
  numNodes,
  algorithm = "MinCostArborescence"
)

Arguments

arcSources

Vector corresponding to the source nodes of a graph's edges

arcTargets

Vector corresponding to the destination nodes of a graph's edges

arcDistances

Vector corresponding to the distances of nodes of a graph's edges

sourceNode

The source node

numNodes

The number of nodes in the graph

algorithm

Choices of algorithm include "MinCostArborescence". "MinCostArborescence" is the default.

Value

A named list containing three entries: 1) "sources": a vector corresponding the source nodes of the edges in the tree, 2) "targets": a vector corresponding the target nodes of the edges in the tree, and 3) "cost": the total cost of the arborescence.

Details

For details on LEMON's implementation, including differences between the algorithms, see https://lemon.cs.elte.hu/pub/doc/1.3.1/a00264.html.