Practice Complexity Analysis (25.1.9) - DAGs: Longest Paths - Design & Analysis of Algorithms

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What does it mean for a graph to be a Directed Acyclic Graph?
Show hintHide hint
Think about cycles in graphs.
Question 2.
Define topological sorting.
Show hintHide hint
Consider how to order tasks.
3Question 3.
What is a Directed Acyclic Graph?
- A graph with cycles
- A graph with directed edges and no cycles
- A disconnected graph
Show hintHide hint
Focus on the definition of a DAG.
4Question 4.
True or False: The longest path in a DAG represents the simplest tasks.
- True
- False
Show hintHide hint
Consider what the longest path implies.
Question 5.
Construct a DAG for five tasks where task E depends on tasks C and D, while task D depends on B and A. Determine the longest path.
Show hintHide hint
Focus on the dependencies outlined in the DAG.
Question 6.
Given a course structure with prerequisites and a scheduled semester plan, identify if the schedule allows completion in the minimum number of semesters.
Show hintHide hint
Check for any circular dependencies.

5 more questions in this section. Enroll free to practise them all.