Which algorithm is typically used for topological sorting of a directed acyclic
Practice Questions
Q1
Which algorithm is typically used for topological sorting of a directed acyclic graph?
BFS
DFS
Dijkstra's algorithm
Prim's algorithm
Questions & Step-by-Step Solutions
Which algorithm is typically used for topological sorting of a directed acyclic graph?
Step 1: Understand what a directed acyclic graph (DAG) is. A DAG is a graph that has directed edges and does not have any cycles (no way to start at one node and return to it).
Step 2: Learn about topological sorting. Topological sorting is a way of ordering the nodes in a DAG so that for every directed edge from node A to node B, node A comes before node B in the ordering.
Step 3: Know that Depth-First Search (DFS) is a method used to explore graphs. It starts at a node and explores as far as possible along each branch before backtracking.
Step 4: Realize that DFS can be adapted to perform topological sorting. By visiting nodes and keeping track of the order in which they finish, we can create a topological order.
Step 5: Conclude that DFS is typically used for topological sorting of a DAG because it effectively explores all paths and can backtrack to find the correct order.
