Practice Dijkstra’s Algorithm For Single Source Shortest Path Problem (27.2) - Mathematical Institute

Practice: Dijkstra’s Algorithm for Single Source Shortest Path Problem

Lesson 27.2Mathematical Institute

Practise this section

8 questions

Flashcard drill
2 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
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What does Dijkstra's algorithm calculate?
Show hintHide hint
Think about path lengths in a graph.
Question 2.
What is the initial distance set for the source vertex?
Show hintHide hint
It's the starting point for distance calculations.
3Question 3.
What is the time complexity of Dijkstra's algorithm using an adjacency list?
- O(n^2)
- O(n + m log n)
- O(log n)
Show hintHide hint
Think about how many operations are involved in finding the minimum.
4Question 4.
True or False: Dijkstra's algorithm works for graphs with negative edge weights.
- True
- False
Show hintHide hint
Consider the implications of negative costs on path calculations.
Question 5.
Consider the following graph represented as an adjacency matrix. Calculate the shortest path from vertex A to all other vertices. Ensure to handle the vertices in a range of distances correctly.
Show hintHide hint
Apply the algorithm step-by-step and confirm the distances.
Question 6.
If you found a negative cycle in a graph, how would it impact your approach? Can Dijkstra's algorithm be adjusted to handle it?
Show hintHide hint
Think about the principles behind Dijkstra's greedy strategy.

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