Practice Lecture - 26 (27.1.6) - Mathematical Institute - Design & Analysis of Algorithms - Vol 1

Practice: Lecture - 26

Lesson 27.1.6Mathematical Institute

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8 questions

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4 cards from this section. Quick, good the night before a test.
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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does Dijkstra's algorithm aim to find?
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Think about what the goal of defining paths is.
Question 2.
What do we set the source vertex's distance to initially?
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It represents the starting point.
3Question 3.
What is the primary function of Dijkstra's algorithm?
- To find the longest path
- To find the shortest path from a single source vertex
- To find all paths between two vertices
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Consider what the algorithm is frequently used for in applications.
4Question 4.
True or False: Dijkstra's algorithm can handle graphs with negative edge weights.
- True
- False
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Think about the assumptions the algorithm relies on regarding path costs.
Question 5.
Given a weighted graph with both positive and negative edges, determine the shortest path from vertex A to vertex B using Dijkstra's algorithm. What challenges do you face?
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Evaluate how negative weights affect the decisions in Dijkstra's.
Question 6.
Create an efficient implementation of Dijkstra's algorithm using a priority queue. Discuss the time complexity of your implementation.
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Think about the impact of using a different data structure.

4 more questions in this section. Enroll free to practise them all.