Question

Which of the following statements correctly describes the traveling salesman problem?(1 point)ResponsesThe 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.The traveling salesman algorithm is a classic algorithm.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.

Answer 1

The traveling salesman problem (TSP) can be correctly described by the following statement:

The traveling salesman algorithm is a classic algorithm.

The TSP asks for the shortest possible route that visits a list of cities and returns to the origin city, making it a classic problem in optimization and computational theory. The other statements do not accurately represent the essence of the traveling salesman problem or its algorithm.

1. The TSP does not find the shortest path between just two points; it looks for a route that visits multiple points.
2. The TSP is considered NP-hard, meaning it generally does not have a lower time complexity than common sorting or searching algorithms.
3. Space complexity is context-dependent, but typically TSP solutions do not have lower space complexity compared to common algorithms.

So, the only accurate statement from the provided options is that the traveling salesman algorithm is a classic algorithm.