25.1 - DAGs: Longest Paths
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is a directed acyclic graph?
💡 Hint: Think about graphs that allow paths but not loops.
What do we understand by the term 'indegree'?
💡 Hint: Consider how many graphs point towards a particular node.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does a Directed Acyclic Graph (DAG) not contain?
💡 Hint: Think about the fact that paths need to respect a starting point.
The process of arranging the vertices in a DAG respecting dependencies is called?
💡 Hint: Remember it’s about respecting a sequence of tasks.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given a set of courses represented as a DAG, compute the longest path and determine the minimum number of semesters needed. The courses are: 1, 2 (no prereqs), 3 (depends on 1), 4 (depends on 1), 5 (depends on 1), 6 (depends on 3), 7 (depends on 6), 8 (depends on 2, 4, 5, and 7).
💡 Hint: Draw the graph and label dependencies step by step.
Create a DAG to represent project tasks where tasks A, B must be done before task C; task A also leads to task D; and task D leads to task E. Find the longest path.
💡 Hint: Map out all tasks and visualize their connections to understand dependencies.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.