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summary - Topological sort

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Elevate your knowledge of the Topological Sort algorithm with these meticulously crafted notes. Designed to help students, researchers, and professionals master the concepts and implementation of this fundamental graph theory algorithm, our comprehensive Topological Sort notes provide clear explana...

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  • May 28, 2023
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Topological sort
course Algorithmics

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Topological Sort
Topological sort is a technique used to linearly order a directed acyclic graph (DAG).
It orders the nodes in such a way that for every directed edge from node A to node
B, node A comes before node B in the ordering. This ordering is used to represent
dependencies between nodes in a DAG.

Explanation
Topological sort works by repeatedly selecting a node with no incoming edges (i.e.,
no dependencies) and adding it to the ordering. This process continues until all
nodes have been added to the ordering or it is determined that the graph contains a
cycle (i.e., it is not a DAG).

Example
For example, consider a DAG that represents the dependencies between tasks in a
project. Task A must be completed before Task B can start, and Tasks C and D can



Topological sort 1

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