Description: A weighted directed graph is a mathematical structure consisting of a set of nodes (or vertices) connected by directed edges (or arcs), where each edge has an associated weight. This weight can represent various metrics, such as distance, cost, time, or any other measure to be optimized. The main characteristic of weighted directed graphs is that they allow modeling situations where the connections between nodes are not equivalent, meaning that some routes may be more expensive or longer than others. This property makes them particularly useful in optimization problems, where the goal is to find the shortest path or the least costly route between two points. Weighted directed graphs are fundamental in the field of graph theory and have applications in various areas such as computer science, logistics, communication networks, and artificial intelligence. Their ability to represent complex relationships and their flexibility to adapt to different contexts make them a powerful tool for solving practical problems in the real world.
