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

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 is a classic algorithm.
The traveling salesman algorithm is a classic algorithm.

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 has a lower space complexity than common sorts or searches.

1 answer

The statement that correctly describes the traveling salesman problem is:

The traveling salesman algorithm is a classic algorithm.

The other statements are not accurate in the context of the traveling salesman problem (TSP):

  • TSP is not about finding the shortest path between two points; rather, it involves finding the shortest possible route that visits each city exactly once and returns to the origin city.
  • TSP is a well-known NP-hard problem, and its time complexity is generally higher than that of common sorting or searching algorithms, not lower.
  • While the algorithm may use variable space depending on the implementation, it does not generally have lower space complexity than common sorts or searches.