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 ...

Mathematical puzzles don't often get to star in feature films, but P vs NP is the subject of an upcoming thriller from Timothy Lanzone called "Travelling Salesman". The titles refers to the ...

Recent survey delivers the first systematic benchmark of TSP solvers spanning end-to-end deep learners, hybrid methods and brand-new LLM-based hybrids, revealing that hybrids give best-in-class routes ...

1. Challenges -- Tour of the United States -- An impossible task? -- One problem at a time -- Road map of the book -- 2. Origins of the problem -- Before the mathematicians -- Euler and Hamilton -- ...

The main result of this paper is that the traveling-salesman problem is a special case of the longest-path problem. Two formulations of the traveling-salesman problem are considered; the version in ...

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 goal of a combinatorial optimization problem is to find a set of distinct integer values that minimizes some cost function. The most famous example is the Traveling Salesman Problem (TSP). There ...

The traveling salesman problem is considered a prime example of a combinatorial optimization problem. Now a team has shown that a certain class of such problems can actually be solved better and much ...

An Italian researcher with a penchant for retro games -- or perhaps just looking for an excuse to play games in the name of science! -- has used computational complexity theory to decide, once and for ...