4.1.4 - Complexity Analysis
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Practice Questions
Test your understanding with targeted questions
Define what a Minimum Spanning Tree is.
💡 Hint: Think about the characteristics of trees in graphs.
What does Dijkstra's Algorithm do?
💡 Hint: Consider what 'shortest paths' means in graph traversal.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary goal of Prim's algorithm?
💡 Hint: Focus on what Prim's algorithm aims to achieve in graphs.
True or False: Dijkstra's algorithm can also construct minimum spanning trees.
💡 Hint: Consider the different goals of the two algorithms.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a graph with 6 vertices and various weighted edges, demonstrate the application of both Prim's and Dijkstra's algorithms to outline the difference in results.
💡 Hint: Draw the graph and start applying each algorithm step by step.
In a case where edge weights are duplicated across a graph, discuss the implications for minimum spanning tree uniqueness.
💡 Hint: Reflect on how uniqueness is impacted by equal options.
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