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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does Dijkstra's algorithm compute?
💡 Hint: Think about graph paths and distances.
Question 2
Easy
What is a minimum spanning tree?
💡 Hint: Remember the concept of connecting without cycles.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
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
💡 Hint: Think about its application in pathfinding.
Question 2
True or False: Prim's algorithm can guarantee a unique minimum spanning tree for any graph.
- True
- False
💡 Hint: Consider scenarios with equal edge weights.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
💡 Hint: Remember to keep track of your cumulative distances and to update them as you encounter each edge.
Question 2
Design a weighted graph where Prim's algorithm needs to handle equal weights. Explain the outcome and potential edges selected at each step.
💡 Hint: Consider how many valid edges can exist when weights are the same, and how to break ties effectively.
Challenge and get performance evaluation