The correct statement about the traveling salesman problem (TSP) is:
The traveling salesman problem finds the shortest path that visits a set of cities exactly once and returns to the starting city.
However, from the options you've provided, none of the statements accurately describe the TSP.
Here’s a brief explanation of some of the statements:
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The traveling salesman algorithm is a classic algorithm.
- This statement is generally true, as TSP is a well-known problem in combinatorial optimization.
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The traveling salesman algorithm has a lower space complexity than common sorts or searches.
- This is context-dependent and is not a universally accurate statement; TSP algorithms can have varying space complexities.
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The traveling salesman algorithm has a lower time complexity than common sorts or searches.
- This is also not accurate; TSP is NP-hard, meaning it does not have a known polynomial-time solution, while many sorting and searching algorithms do.
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The traveling salesman problem finds the shortest path between two points in a graph.
- This statement is incorrect; TSP involves finding the shortest possible route that visits multiple points (cities) and returns to the origin.
In summary, although the statements provided do not accurately describe the problem, the most relevant point is that TSP is a classic combinatorial optimization problem.
3 answers