Description: A ranked graph is a mathematical structure in which vertices are assigned ranks or levels according to predefined criteria. This classification allows for the organization and analysis of information in a hierarchical manner, facilitating the understanding of relationships between different nodes in the graph. In a ranked graph, vertices can represent entities such as people, places, or concepts, while edges indicate the connections or relationships between them. The ranking can be based on various factors, such as importance, size, relevance, or any other criterion that one wishes to apply. This structure is particularly useful in network analysis, where the goal is to understand the influence or role of each node within a broader system. Additionally, ranked graphs can be directed or undirected, depending on whether the relationships have a specific direction. In summary, a ranked graph not only provides a visual representation of the relationships between elements but also allows for the application of analytical techniques to extract valuable information about the structure and dynamics of the represented system.
