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Even if I did have the 3,498.4 years required to figure out the placement for the approximate 100,000 “cities”, I might choose the wrong algorithm to start with and end up getting it wrong anyway (if a computer only gets it right 60% of the time I imagine my odds are a lot lower).
At the time of writing (October, 2017), the paper hasn’t been peer-reviewed.
However, Lipton & Regan state that it “…solves a long-standing open problem and is a breakthrough of the first order.” There have also been a variety of specific large problems where an optimal solution has been found.
I’ve now completed a series of 5 TSP art pieces, all of which are now in private collections.
These are hand drawn, pen and ink renditions of Jimi Hendrix, Diana Ross, David Bowie, Debbie Harry, and Stevie Nicks.
The process wasn’t NP-Hard, but it was frustratingly difficult to create at first. Proceeding FOCS ’11 Proceedings of the 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science. “Traveling Salesman Tours.” §5.3.5 in Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. The Princeton Mathematics Community in the 1930s, Transcript Number 11.
First, there was the problem of all the tones needed to create a black and white image.
If you’re feeling the burning desire to create computer generated TSP Art, check out the free, open source software Stipple Gen. also in Computational Complexity Theory at the University at Buffalo (SUNY), state that it “…solves a long-standing open problem and is a breakthrough of the first order.” Article posted on Gödel’s Lost Letter and P=NP. A Constant-Factor Approximation Algorithm for the Asymmetric Traveling Salesman Problem. Retrieved October 31, 2017 from: https://arxiv.org/abs/1708.04215 ------------------------------------------------------------------------------ Need help with a homework or test question?
The concept of TSP art fascinated me and I became interested in creating hand drawn renditions. A Randomized Rounding Approach to the Traveling Salesman Problem. Retrieved October 31, 2017 from https://rjlipton.wordpress.com/2017/09/11/a-tsp-breakthrough/ Skiena, S. Merrill Flood (with Albert Tucker), Interview of Merrill Flood in San Francisco on . With Chegg Study, you can get step-by-step solutions to your questions from an expert in the field. - Includes many concepts such as sample size, hypothesis tests, or logistic regression, explained by Stephanie Glen, founder of Statistics How To.
It can also be used to produce some pretty cool computer generated art.
for traveling salesmen, although it wasn’t stated as a mathematical problem until the 1930s.