Practice Introduction to In Degrees - 24.1.1 | 24. Topological Ordering of Directed Acyclic Graphs (DAG) | Design & Analysis of Algorithms - Vol 1
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Introduction to In Degrees

24.1.1 - Introduction to In Degrees

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the in degree of a vertex?

💡 Hint: Think about incoming arrows in a directed graph.

Question 2 Easy

If a vertex has no incoming edges, what is its in degree?

💡 Hint: Consider what it means to have no connections coming in.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does an in degree of 0 indicate about a vertex?

It has no outgoing edges
It has no incoming edges
It cannot be removed

💡 Hint: Think about what it means in the context of task dependencies.

Question 2

True or False: Topological sorting can produce multiple valid orderings.

True
False

💡 Hint: Consider scenarios with branches in task dependencies.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are given a DAG representing tasks and their dependencies. Vertex 'A' has edges leading to 'B', 'C', and 'D'. If 'A' is removed, what will be the in degrees of 'B', 'C', and 'D'?

💡 Hint: Count how each vertex is affected by the removal of 'A'.

Challenge 2 Hard

Demonstrate how the choice of vertices with in degree 0 affects the resulting topological order in a DAG you create.

💡 Hint: Draw the graph and label the in degrees before experimenting!

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Reference links

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