Description: A weighted graph is a graphical representation in which each edge (or connection) between nodes (or vertices) has an associated weight. This weight can represent different metrics, such as cost, capacity, distance, or any other measure relevant to the analysis of the system being modeled. The main feature of weighted graphs is that they allow for a richer and more detailed representation of the relationships between nodes, as not only the existence of a connection is considered, but also its significance or impact. This is especially useful in contexts where relationships are not uniform and where some connections may be more significant than others. In various fields, weighted graphs can be used to model the relationships between different entities and their interactions, facilitating the identification of the most effective configurations or pathways. In data visualization, these graphs allow analysts and data scientists to clearly and effectively represent the complexity of interactions within a dataset, helping to uncover patterns and trends that may not be evident in simpler representations.