Practice Final Algorithm For Prim's Minimum Cost Spanning Tree (3.6) - Spanning Trees: Prim’s Algorithm

Practice: Final Algorithm for Prim's Minimum Cost Spanning Tree

Lesson 3.6Spanning Trees: Prim’s Algorithm

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define Prim's algorithm in your own words.
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Focus on the steps and how it builds the tree.
Question 2.
What does a spanning tree do?
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Think about what a tree structure is.
3Question 3.
What does Prim's algorithm find in a graph?
- Longest path
- Minimum spanning tree
- Largest cycle
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Recall the objective of the algorithm.
4Question 4.
True or False: Prim's algorithm can only be used on directed graphs.
- True
- False
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Think about the nature of the graph used.
Question 5.
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.
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Track your choices to validate each step against the minimum separator lemma.
Question 6.
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.
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Review their operating principles and how those relate to graph characteristics.

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