Which of the following algorithms is used for topological sorting in a directed

Practice Questions

Q1
Which of the following algorithms is used for topological sorting in a directed acyclic graph (DAG)?
  1. Depth First Search
  2. Breadth First Search
  3. Dijkstra's Algorithm
  4. Prim's Algorithm

Questions & Step-by-Step Solutions

Which of the following algorithms is used for topological sorting in a directed acyclic graph (DAG)?
  • Step 1: Understand what a directed acyclic graph (DAG) is. A DAG is a graph that has directed edges and does not contain any cycles.
  • Step 2: Learn about topological sorting. It is a way of arranging the nodes of a DAG in a linear order such that for every directed edge from node A to node B, node A comes before node B in the ordering.
  • Step 3: Familiarize yourself with Depth First Search (DFS). DFS is an algorithm for traversing or searching through a graph by exploring as far as possible along each branch before backtracking.
  • Step 4: Realize that to perform topological sorting using DFS, you start at any node and explore as far as possible down each path, marking nodes as visited.
  • Step 5: Once you reach a node with no unvisited neighbors, you add it to the topological order. You repeat this process until all nodes are visited.
  • Step 6: The final order you get after visiting all nodes will be the topological sorting of the DAG.
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