Topological sorting is a method used to arrange the vertices of a directed acyclic graph (DAG) in a linear order. In this order, for every directed edge from vertex A to vertex B, vertex A appears before vertex B. This is particularly useful in scenarios like scheduling tasks, where certain tasks must be completed before others. The process of topological sorting can be achieved using algorithms such as Kahn's algorithm or Depth-First Search (DFS). These algorithms systematically explore the graph to ensure that all dependencies are respected, resulting in a valid sequence of tasks or events.