Practice Dijkstra's Algorithm And Prim's Algorithm (4.1) - Dijkstra's Algorithm and Prim's Algorithm

Practice: Dijkstra's Algorithm and Prim's Algorithm

Lesson 4.1Dijkstra's Algorithm and Prim's Algorithm

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 Dijkstra's algorithm compute?
Show hintHide hint
Think about graph paths and distances.
Question 2.
What is a minimum spanning tree?
Show hintHide hint
Remember the concept of connecting without cycles.
3Question 3.
What is the purpose of Dijkstra's algorithm?
- To find minimum spanning trees
- To find the shortest paths from a source vertex
- To sort a list of numbers
Show hintHide hint
Think about its application in pathfinding.
4Question 4.
True or False: Prim's algorithm can guarantee a unique minimum spanning tree for any graph.
- True
- False
Show hintHide hint
Consider scenarios with equal edge weights.
Question 5.
Create a graph with 5 vertices and 7 edges. Apply Dijkstra's algorithm starting from vertex 1. Show the steps and calculate the shortest path to each vertex.
Show hintHide hint
Remember to keep track of your cumulative distances and to update them as you encounter each edge.
Question 6.
Design a weighted graph where Prim's algorithm needs to handle equal weights. Explain the outcome and potential edges selected at each step.
Show hintHide hint
Consider how many valid edges can exist when weights are the same, and how to break ties effectively.

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