V- the graph vertex type
E- the graph edge type
public class TwoApproxMetricTSP<V,E> extends Object implements TSPAlgorithm<V,E>
The travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the origin city?". In the metric TSP, the intercity distances satisfy the triangle inequality.
This is an implementation of the folklore algorithm which returns a depth-first ordering of the minimum spanning tree. The algorithm is a 2-approximation assuming that the instance satisfies the triangle inequality. The implementation requires the input graph to be undirected and complete. The running time is O(|V|^2 log|V|).
See wikipedia for more details.
|Constructor and Description|
Construct a new instance
|Modifier and Type||Method and Description|
Computes a 2-approximate tour.
public GraphPath<V,E> getTour(Graph<V,E> graph)
graph- the input graph
IllegalArgumentException- if the graph is not undirected
IllegalArgumentException- if the graph is not complete
IllegalArgumentException- if the graph contains no vertices
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