3.6 - Final Algorithm for Prim's Minimum Cost Spanning Tree
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Practice Questions
Test your understanding with targeted questions
Define Prim's algorithm in your own words.
💡 Hint: Focus on the steps and how it builds the tree.
What does a spanning tree do?
💡 Hint: Think about what a tree structure is.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does Prim's algorithm find in a graph?
💡 Hint: Recall the objective of the algorithm.
True or False: Prim's algorithm can only be used on directed graphs.
💡 Hint: Think about the nature of the graph used.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a graph with several vertices and edges of varying weights, demonstrate Prim's algorithm step-by-step, explaining each decision made along the way.
💡 Hint: Track your choices to validate each step against the minimum separator lemma.
Construct a comprehensive analysis of comparing Prim's and Kruskal's algorithms when applied to a dense versus a sparse graph. Discuss efficiency and outcomes for both.
💡 Hint: Review their operating principles and how those relate to graph characteristics.
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