Final answer:
a) Greedy, weight
The Greedy Method is an approximate approach to solving the traveling salesperson problem, where the algorithm selects the edge with the smallest weight at each step, usually representing distance or cost.
Step-by-step explanation:
The question asks for the name of a method that approximates the solution to the traveling salesperson problem (TSP). The TSP is a classic optimization problem in mathematics which seeks to find the shortest possible route that visits a list of cities and returns to the original city. The method described in the question involves choosing the smallest edge, which is typically representative of some sort of cost, such as distance, time, or other resources. Based on this description, the correct answer to the question is:
a) Greedy, weight
The Greedy Method is a heuristic algorithm that makes locally optimal choices at each step with the hope of finding the global optimum. In the context of the TSP, the Greedy Method selects the edge or path with the smallest weight, where 'weight' often represents the distance between two points or the cost associated with traveling from one city to another. It does not guarantee the most optimal solution but often yields a good approximation in a reasonable amount of time.