Practice Prof. Madhavan Mukund (27.1.2) - Mathematical Institute - Design & Analysis of Algorithms - Vol 1

Practice: Prof. Madhavan Mukund

Lesson 27.1.2Mathematical Institute

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10 questions

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6 sample questions

Question 1.
What is the main goal of Dijkstra's algorithm?
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Think about the term 'shortest path'.
Question 2.
Define a burnt vertex in the context of Dijkstra's algorithm.
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What happens to the distance of burnt vertices?
3Question 3.
What does Dijkstra's algorithm aim to achieve?
- Find the shortest path from a single source
- Find the longest path
- Sort vertices
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Focus on the part about the 'shortest path'.
4Question 4.
True or False: Dijkstra's algorithm can handle graphs with negative weights.
- True
- False
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Recall what we discussed about negative weights.
Question 5.
Consider a graph with vertices and edges that have both positive and negative weights, describe how Dijkstra's algorithm would handle this, and what issues might arise.
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Reflect on the definitions and properties of negative weights.
Question 6.
Design a modified version of Dijkstra's algorithm to account for negative weights and leverage efficient graph traversing. Explain your solution.
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Recall the properties and functionalities of other pathfinding algorithms.

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