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 ...

The traveling salesman problem is one of the basic problems that many theoretical computer scientists have been working on. Many scientists think that there is no algorithm for the traveling salesman ...

Determining the precise integrality gap for the subtour linear programming (LP) relaxation of the traveling salesman problem is a significant open question, with little progress made in thirty years ...

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 ...

THAT'S MATHS:In the course of a single night, Santa Claus has a billion homes to visit. To ensure that every child gets a gift, he needs to pick a smart route. How does he do it? His challenge is ...

Bumblebees aren’t just hard workers, they’re efficient, too. These insects have a grasp of maths that enables them to crack the classic travelling salesman problem as they forage for pollen and nectar ...

We have found the best path to take between the stars. The travelling salesman problem, an infamous mathematical puzzle that seeks the shortest route between many locations while visiting each only ...