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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Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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'.

Question 2

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!

Challenge and get performance evaluation