For what purposes are graphs used in programming?

Graphs are used in programming to model and solve problems related to relationships between objects. The main purposes of their application include:

• Representation of connections: Modeling networks (social, computer), road maps, object dependencies.
• Pathfinding: Finding the shortest or optimal path between two nodes (Dijkstra's, A*, Bellman-Ford algorithms).
• Connectivity analysis: Determining graph connectivity components, finding bridges and articulation points.
• Topological sorting: Ordering elements with dependencies (task scheduling, project assembly).
• Cycle detection: Identifying cycles in processes or data structures.
• Flow optimization: Distributing resources in networks (Ford-Fulkerson algorithm).
• Machine learning: Processing graph data, for example, in recommendation systems (Graph Neural Networks).
• Databases: Modeling relationships in graph databases.
• Search algorithms: Traversing graphs to find information (DFS, BFS).