As you perform forward scanning, what do you do at each vertex when multiple paths meet?

In the context of performing forward scanning in a graph or network algorithm, the best action at each vertex when multiple paths converge is to evaluate the paths based on certain criteria, typically focusing on efficiency or optimality.

Selecting the lowest total time among the paths is essential because it allows you to determine the most efficient route from the starting point to the vertex in question. This method ensures that you are accumulating the minimal cost, which is crucial for optimizing performance in various applications such as transportation, communication networks, or even task scheduling.

Considering the other options, choosing the highest total number does not contribute to optimizing the path, as it could lead to longer or more costly routes. Adding up incoming total times does not help you refine your choice either, since it does not indicate which is the best or most optimal path to take. Discarding redundant paths could be useful in certain contexts, but it doesn't directly guide you in selecting the best path based on time efficiency.

Thus, the process of identifying the best path by selecting the lowest total time reflects an optimal strategy in navigation or routing while ensuring that you make informed decisions at each junction.