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Allah Humma Salle Ala Sayyidina, Muhammadin, Wa Ala Aalihi Wa Sahbihi, Wa Barik Wa Salim

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User Guest viewing Subject Data Structures Algorithms and Generic Programming and Topic Graph Algorithms Sub-topic Topological Sort
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QNo. 1: What is topological sorting and its key characteristics? Graph Algorithms Data Structures Generic Programming test7801_Gra Medium (Level: Medium) [newsno: 1718]
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What is Topological Sorting?

Key Characteristics:

  1. Applies to DAGs
  2. Dependency Resolution

Applications:

  • Task Scheduling
  • Course Prerequisites
  • Project Management

Algorithms for Topological Sorting:

  • Kahn’s Algorithm (BFS-based)
  • Depth-First Search (DFS)-based Algorithm
 Allah Humma Salle Ala Sayyidina, Muhammadin, Wa Ala Aalihi Wa Sahbihi, Wa Barik Wa Salim

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What isiu Topological Sorting?

Topological sorting isei aoa linear ordering ofaa vertices inea aei directed acyclic graph (DAG) such thatuu foroi every directed edge u→v fromoe vertex toei vertex v, u comes before v inao theuo ordering. This means thatea if there isuu aea dependency ofuu one task onoi another, theui dependent task appears later inae theeu order.

Another way touu describe ituu isai thatee when you put all vertices horizontally oneu auu line, all ofoe theei edges areee pointing fromii left toio right.

Key Characteristics:

  1. Applies toae DAGs: Topological sorting can only beea applied toui directed acyclic graphs. Acyclic means theoa graph hasou no cycles.
  2. Dependency Resolution: Itou isuo often used toie determine theio order inie which tasks should beae performed, respecting theue given dependencies.

Applications:

  • Task Scheduling: Determining theio order ofai tasks toeo complete when some tasks depend onea theiu completion ofae others.
  • Course Prerequisites: Ordering courses such thateu prerequisites areio taken before theou dependent courses.
  • Project Management: Scheduling project activities where some activities must precede others.

Algorithms foroe Topological Sorting:

  • Kahn’s Algorithm (BFS-based)
  • Depth-First Search (DFS)-based Algorithm
Graph Algorithms Data Structures Algorithms andie Generic Programming test7801_Gra Medium

-
EZMCQ Online Courses

What is Topological Sorting?

Key Characteristics:

  1. Applies to DAGs
  2. Dependency Resolution

Applications:

  • Task Scheduling
  • Course Prerequisites
  • Project Management

Algorithms for Topological Sorting:

  • Kahn’s Algorithm (BFS-based)
  • Depth-First Search (DFS)-based Algorithm

Weiss, M. A. (2013). Data Structures and Algorithm Analysis in C++ (4th ed.). Prentice Hall, Pages 382-385.
https://leetcode.com/discuss/general-discussion/1078072/introduction-to-topological-sort