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Directed acylic graphs: topological sort Video Lecture | Algorithms - Computer Science Engineering (CSE)
FAQs on Directed acylic graphs: topological sort Video Lecture - Algorithms - Computer Science Engineering (CSE)
| 1. What is a directed acyclic graph (DAG)? |  |
Ans. A directed acyclic graph (DAG) is a graph that has directed edges between nodes but does not contain any cycles, meaning there is no way to start at a node and follow a sequence of edges that eventually loops back to the same node.
| 2. What is a topological sort of a DAG? | |
Ans. A topological sort of a DAG is a linear ordering of its nodes such that for every directed edge from node A to node B, node A appears before node B in the ordering.
| 3. Why is topological sorting important in directed acyclic graphs? | |
Ans. Topological sorting is important in directed acyclic graphs because it allows us to determine a valid sequence of tasks or dependencies. It is commonly used in scheduling problems, task ordering, and dependency resolution.
| 4. How is a topological sort algorithm typically implemented? | |
Ans. A common algorithm for topological sorting is Kahn's algorithm, which involves repeatedly removing nodes with no incoming edges from the graph until all nodes have been removed. Another popular algorithm is Depth-First Search (DFS) based topological sorting.
| 5. Can a graph with cycles have a valid topological sort? | |
Ans. No, a graph with cycles cannot have a valid topological sort because the presence of a cycle implies a circular dependency, which contradicts the concept of a linear ordering of nodes.
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Sep 03, 2025
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