Practice Executing Prim's Algorithm - 4.1.2 | 4. Dijkstra's Algorithm and Prim's Algorithm | Design & Analysis of Algorithms - Vol 2
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Executing Prim's Algorithm

4.1.2 - Executing Prim's Algorithm

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does a minimum spanning tree do?

💡 Hint: Think about the purpose of connecting nodes efficiently.

Question 2 Easy

Define edge weight in the context of graphs.

💡 Hint: What quantity is associated with each edge?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is Prim's algorithm used for?

Finding shortest path
Creating a minimum spanning tree
Sorting elements

💡 Hint: Think about tree structures in graphs.

Question 2

True or False: Prim's algorithm can be executed starting from any vertex in the graph.

True
False

💡 Hint: Consider starting points in a graph.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with vertices and weighted edges, execute Prim's algorithm starting from vertex A and illustrate the tree formed step-by-step.

💡 Hint: Keep track of the distances for each vertex through the process.

Challenge 2 Hard

Analyze a scenario where edge weights are not unique. Discuss how Prim's would select edges differently if multiple edges had the same weight.

💡 Hint: Consider how selections could produce various trees.

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Reference links

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