A puzzle that has long flummoxed computers and the scientists who program them has suddenly become far more manageable. A new algorithm efficiently solves the graph isomorphism problem, computer ...

The travelling salesman problem (TSP) remains one of the most challenging NP‐hard problems in combinatorial optimisation, with significant implications for logistics, network design and route planning ...

A classic mathematical problem that finds the shortest distance of round trip travel between multiple locations. The traveling salesman problem (TSP) generates directions from city 1 to city 2 and so ...

Is it hopeless to try to compute the shortest route to visit a large number of cities? Not just a good route but the guaranteed shortest. The task is the long-standing challenge known as the traveling ...

This is a preview. Log in through your library . Abstract We address the problem of wallpapering a room so as to minimize the paper wasted. We show that the problem is equivalent to finding a shortest ...

Not long ago, a team of researchers from Stanford and McGill universities broke a 35-year record in computer science by an almost imperceptible margin — four hundredths of a trillionth of a trillionth ...

This is a preview. Log in through your library . Abstract We consider partitioning algorithms for the approximate solution of large instances of the traveling-salesman problem in the plane. These ...

Tackling the traveling salesman problem with chemotaxis is a nice example of when the suboptimal is optimal, says Bartumeus. Of course, with all the information, time and resources in the world, ...

A salesman has to visit every major city in the U.S. What is the cheapest way to hit them all exactly once and then return to the headquarters? The computation of the single best answer for what is ...