Practice Algorithm Complexity - 24.1.5 | 24. Topological Ordering of Directed Acyclic Graphs (DAG) | Design & Analysis of Algorithms - Vol 1
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Algorithm Complexity

24.1.5 - Algorithm Complexity

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Practice Questions

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Question 1 Easy

Define in-degree.

💡 Hint: Think about how many arrows point at a specific point.

Question 2 Easy

What is one method to find out which vertex to process in topological sort?

💡 Hint: What means you don't need to wait for anything else to start working?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity using an adjacency matrix for topological sorting?

O(n)
O(n^2)
O(n + m)

💡 Hint: Think about the size of the matrix.

Question 2

True or False: In topological sorting, a vertex with in-degree 0 can be processed immediately.

True
False

💡 Hint: Consider what in-degree indicates during processing.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a directed graph represented by edges: {(A, B), (B, C), (C, D), (A, D)}, implement a topological sorting algorithm using an adjacency list.

💡 Hint: Consider how you will maintain the list as you process each vertex.

Challenge 2 Hard

In a project management scenario with tasks represented as a directed graph, design a strategy to implement topological sorting to schedule tasks while minimizing dependencies.

💡 Hint: Think about how dependencies affect the order of execution.

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