Description: A representation graph is a mathematical structure used to model relationships between objects or entities. It consists of a set of nodes, representing the objects, and a set of edges, representing the connections or relationships between those objects. This representation allows for the visualization and analysis of the structure of a system, facilitating the understanding of how different elements interact. Graphs can be directed or undirected, depending on whether the relationships have a specific direction. Additionally, they can be weighted, where edges have associated values representing the strength or cost of the relationship. Representation graphs are fundamental in various disciplines, as they provide a clear and concise way to represent complex information. Their versatility allows for application in areas such as computer science, biology, sociology, and logistics, among others. Through specific algorithms, it is possible to extract valuable information from these graphs, such as identifying patterns, optimizing paths, or detecting communities within a dataset. In summary, representation graphs are powerful tools for the analysis and visualization of relationships in complex systems.