Practice Handling Ties in Edge Weights - 4.1.5 | 4. Dijkstra's Algorithm and Prim's Algorithm | Design & Analysis of Algorithms - Vol 2
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4.1.5 - Handling Ties in Edge Weights

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a minimum spanning tree?

💡 Hint: Think about how edges connect vertices.

Question 2

Easy

Explain the problem faced when multiple edges have the same weight in Prim's algorithm.

💡 Hint: Consider how we can maintain order when selecting edges.

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 does Prim's algorithm aim to achieve?

  • Find the shortest path
  • Construct a minimum spanning tree
  • Sort the graph

💡 Hint: Consider what 'minimum spanning tree' implies.

Question 2

True or False: Dijkstra's Algorithm and Prim's Algorithm are completely different.

  • True
  • False

💡 Hint: Think about their structures and methods of operation.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a complete graph with 4 vertices where every edge has a weight of 5. How many distinct minimum spanning trees can be formed?

💡 Hint: Think about how many sets of edges can connect the vertices without cycles.

Question 2

Given the following edges and weights: (A,B,4), (A,C,4), (B,C,6), (C,D,5), if you apply Prim's algorithm starting from A, describe the minimum spanning tree formed and indicate the potential variations.

💡 Hint: Consider each step and what tied edges can lead to different outcomes.

Challenge and get performance evaluation