Package org.jgrapht.alg.tour
Class TwoApproxMetricTSP<V,E>
- java.lang.Object
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- org.jgrapht.alg.tour.TwoApproxMetricTSP<V,E>
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- Type Parameters:
V
- the graph vertex typeE
- the graph edge type
- All Implemented Interfaces:
HamiltonianCycleAlgorithm<V,E>
public class TwoApproxMetricTSP<V,E> extends java.lang.Object implements HamiltonianCycleAlgorithm<V,E>
A 2-approximation algorithm for the metric TSP problem.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.
- Author:
- Dimitrios Michail
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Constructor Summary
Constructors Constructor Description TwoApproxMetricTSP()
Construct a new instance
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description GraphPath<V,E>
getTour(Graph<V,E> graph)
Computes a 2-approximate tour.
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Method Detail
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getTour
public GraphPath<V,E> getTour(Graph<V,E> graph)
Computes a 2-approximate tour.- Specified by:
getTour
in interfaceHamiltonianCycleAlgorithm<V,E>
- Parameters:
graph
- the input graph- Returns:
- a tour
- Throws:
java.lang.IllegalArgumentException
- if the graph is not undirectedjava.lang.IllegalArgumentException
- if the graph is not completejava.lang.IllegalArgumentException
- if the graph contains no vertices
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