Which of the following statements correctly describes the traveling salesman problem?(1 point)

Question

Responses

The traveling salesman algorithm has a lower time complexity than common sorts or searches.
The traveling salesman algorithm has a lower time complexity than common sorts or searches.

The traveling salesman algorithm has a lower space complexity than common sorts or searches.
The traveling salesman algorithm has a lower space complexity than common sorts or searches.

The traveling salesman problem finds the shortest path between two points in a graph.
The traveling salesman problem finds the shortest path between two points in a graph.

The traveling salesman algorithm is a classic algorithm.

Answer 1

The most accurate statement regarding the traveling salesman problem (TSP) from the provided options is:

The traveling salesman algorithm is a classic algorithm.

The other statements contain inaccuracies. TSP is known to be NP-hard, meaning that it does not have a polynomial-time solution that is known, and thus it generally does not have lower time or space complexity compared to more efficient algorithms for sorting or searching. Additionally, TSP does not simply find the shortest path between two points; rather, it seeks the shortest possible route that visits a set of points (cities) exactly once and returns to the original point.