Practice Finding the Minimum Distance - 11.2.1 | 11. Heaps and Dijkstra'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 the primary purpose of Dijkstra’s algorithm?

💡 Hint: Recall what type of problems requires the shortest distance.

Question 2

Easy

What is a min-heap?

💡 Hint: Think about how parent and child relationships work in trees.

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 data structure does Dijkstra's Algorithm use for selecting the next vertex?

  • Array
  • Min-Heap
  • Stack

💡 Hint: Consider which data structure allows for quick access to the smallest value.

Question 2

Heap violations are fixed upwards when:

  • True
  • False

💡 Hint: Think about the implications of increasing a node's value relative to it parent.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using the graph defined by vertices 1-4 and edges (1-2, cost 4), (1-3, cost 1), (2-4, cost 1), (3-4, cost 5). Demonstrate the application of Dijkstra’s Algorithm starting from vertex 1.

💡 Hint: Trace the path carefully, recording minimum distances achieved.

Question 2

Describe the implications of using an array versus a heap for implementing Dijkstra’s algorithm in terms of time complexity and performance.

💡 Hint: Compare the efficiency by considering retrieval of the minimum element.

Challenge and get performance evaluation