- Type Parameters:
V- the graph vertex type
E- the graph edge type
- All Implemented Interfaces:
public class TwoApproxMetricTSP<V,E> extends 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.
- Dimitrios Michail
Constructors Constructor Description
TwoApproxMetricTSP()Construct a new instance
All Methods Instance Methods Concrete Methods Modifier and Type Method Description
getTour(Graph<V,E> graph)Computes a 2-approximate tour.
getTourComputes a 2-approximate tour.
- Specified by:
graph- the input graph
- a tour
IllegalArgumentException- if the graph is not undirected
IllegalArgumentException- if the graph is not complete
IllegalArgumentException- if the graph contains no vertices