4.1 - Dijkstra's Algorithm and Prim's Algorithm
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Practice Questions
Test your understanding with targeted questions
What does Dijkstra's algorithm compute?
💡 Hint: Think about graph paths and distances.
What is a minimum spanning tree?
💡 Hint: Remember the concept of connecting without cycles.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the purpose of Dijkstra's algorithm?
💡 Hint: Think about its application in pathfinding.
True or False: Prim's algorithm can guarantee a unique minimum spanning tree for any graph.
💡 Hint: Consider scenarios with equal edge weights.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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