Euclidean TSP and Java




Interesting page here on Euclidean TSP:

<http://valis.cs.uiuc.edu/~sariel/research/CG/applets/tsp/TspAlg.html>

It includes a Java applet that implements two approximation algorithms
that run in polynomial time and give performance guarantees. One runs
in O(N^2 log N) and is guaranteed to get a tour is at most twice as long
as optimal. The second is guaranteed to be at most 1.5 as long as
optimal.

It is known that for any N > 0, there is a polynomial time algorithm
that gets within a factor of 1+1/N of optimal for Euclidean TSP.

--
--Tim Smith
.



Relevant Pages

  • Re: Euclidean TSP and Java
    ... that gets within a factor of 1+1/N of optimal for Euclidean TSP. ... Is there also a known relationship between the actual polynomial time cost ... Here's the paper Wikipedia cites: ...
    (comp.lang.java.programmer)
  • Re: Euclidean TSP and Java
    ... It is known that for any N> 0, there is a polynomial time algorithm ... that gets within a factor of 1+1/N of optimal for Euclidean TSP. ... Is there also a known relationship between the actual polynomial time cost and any given N? ...
    (comp.lang.java.programmer)