Practice Update Mechanism in Prim's Algorithm - 4.1.3 | 4. Dijkstra's Algorithm and Prim's Algorithm | Design & Analysis of Algorithms - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is Prim's algorithm used for?

💡 Hint: Think of the tree that connects all vertices with minimum weight.

Question 2

Easy

What happens if two edges in Prim’s algorithm have the same weight?

💡 Hint: Consider what options become available in that case.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is Prim's algorithm primarily used for?

  • Finding shortest paths in a graph
  • Finding minimum spanning trees
  • Finding maximum flow in a network

💡 Hint: Remember the tree connection concept.

Question 2

Dijkstra's algorithm is focused on:

  • True
  • False

💡 Hint: Reflect on how both handle weights.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a graph with edges having weights such that two edges have the same weight. If you apply Prim's algorithm, describe how many possible minimum spanning trees might exist. Explain your reasoning.

💡 Hint: Reflect on what happens when multiple valid connections arise in a tree.

Question 2

Create an example of a graph with five vertices and all edges with equal weights. Determine if Prim's algorithm will yield a unique minimum spanning tree.

💡 Hint: Think about the freedom of selection within your setup.

Challenge and get performance evaluation