org.jgrapht.alg

Class HamiltonianCycle

java.lang.Object

org.jgrapht.alg.HamiltonianCycle

public class HamiltonianCycle
extends Object

This class will deal with finding the optimal or approximately optimal minimum tour (hamiltonian cycle) or commonly known as the Traveling Salesman Problem.

Author:

Andrew Newell

Constructor Summary

Constructors

Constructor and Description
HamiltonianCycle()

Method Summary

Modifier and Type	Method and Description
static <V,E> List<V>	getApproximateOptimalForCompleteGraph(SimpleWeightedGraph<V,E> g) This method will return an approximate minimal traveling salesman tour (hamiltonian cycle).

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

HamiltonianCycle

public HamiltonianCycle()

Method Detail

getApproximateOptimalForCompleteGraph

public static <V,E> List<V> getApproximateOptimalForCompleteGraph(SimpleWeightedGraph<V,E> g)

This method will return an approximate minimal traveling salesman tour (hamiltonian cycle). This algorithm requires that the graph be complete and the triangle inequality exists (if x,y,z are vertices then d(x,y)+d(y,z) < d(x,z) for all x,y,z) then this algorithm will guarantee a hamiltonian cycle such that the total weight of the cycle is less than or equal to double the total weight of the optimal hamiltonian cycle. The optimal solution is NP-complete, so this is a decent approximation that runs in polynomial time.

Type Parameters:

V - the graph vertex type

E - the graph edge type

Parameters:

g - is the graph to find the optimal tour for.

Returns:

The optimal tour as a list of vertices.