Practice Existence of Vertex with Indegree 0 - 23.2.7 | 23. Directed Acyclic Graphs (DAGs) | Design & Analysis of Algorithms - Vol 1
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Existence of Vertex with Indegree 0

23.2.7 - Existence of Vertex with Indegree 0

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a Directed Acyclic Graph (DAG).

💡 Hint: Think about what 'acyclic' means.

Question 2 Easy

What does indegree represent in a graph?

💡 Hint: Consider the direction of the edges.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does DAG stand for?

Directed Alternating Graph
Distributed Asynchronous Graph
Directed Acyclic Graph

💡 Hint: The acronym includes 'Acyclic'.

Question 2

True or False: Every directed graph must have at least one vertex with indegree greater than 0.

True
False

💡 Hint: Think about independent vertices.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a DAG representing tasks: Task A must be completed before Task B, and Task B must be completed before Task C. Can you suggest a topological ordering of these tasks?

💡 Hint: List the tasks starting from no dependencies.

Challenge 2 Hard

Consider a more complex DAG with tasks A through E with the dependencies A -> B, A -> C, B -> D, and C -> D and D -> E. What is one valid topological order?

💡 Hint: Follow the dependency chains while sorting.

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