Final answer:
The problem of finding a Hamilton circuit for which the sum of these numbers is a minimum is called the traveling salesperson problem. Such a Hamilton circuit is called the optimal solution. The correct answer is A.
Step-by-step explanation:
The problem of finding a Hamilton circuit for which the sum of these numbers is a minimum is called the traveling salesperson problem. Such a Hamilton circuit is called the optimal solution. This problem is a well-known problem in graph theory and has important applications in computer science and operations research.
The traveling salesperson problem aims to find the shortest possible route that visits a set of cities and returns to the starting city, while visiting each city exactly once. The sum of the distances or costs associated with the edges of the circuit is minimized to find the optimal solution.
The traveling salesperson problem is known to be NP-hard, which means that there is no known efficient algorithm to solve it for large instances. Various algorithms and heuristics have been developed to approximate the optimal solution, but finding the absolute optimal solution remains challenging.