Travelling salesperson problem in branch and bound?

The Traveling Salesperson Problem (TSP) is a classic optimization problem where the goal is to determine the shortest possible route that visits a set of cities exactly once and returns to the origin city. In the branch and bound approach, the problem is systematically divided into smaller subproblems (branching), while maintaining a lower bound on the minimum cost of the routes to prune paths that cannot yield better solutions than the current best. This method effectively reduces the search space and speeds up the solution process, making it suitable for solving larger instances of TSP compared to brute-force methods. By exploring the most promising routes first, branch and bound can find optimal solutions more efficiently.