Practice Single Source Shortest Path Problem - 26.1.5.1 | 26. Shortest Paths in Weighted Graphs | Design & Analysis of Algorithms - Vol 1
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Single Source Shortest Path Problem

26.1.5.1 - Single Source Shortest Path Problem

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a weighted graph?

💡 Hint: Think about what makes them different from unweighted graphs.

Question 2 Easy

Define the weight function.

💡 Hint: What does it help us determine in the graph?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Dijkstra's Algorithm primarily find?

Shortest path from a source vertex
Longest path from a source vertex
All paths in the graph

💡 Hint: Recall the main purpose of Dijkstra's Algorithm.

Question 2

True or False: Dijkstra's algorithm can be used for graphs with negative edge weights.

True
False

💡 Hint: Consider how the algorithm evaluates edge weights.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Your city has a new public transit system represented as a weighted graph. Analyze how Dijkstra's algorithm would determine the quickest route for a commuter.

💡 Hint: Visualize the graph and calculate edge weights carefully.

Challenge 2 Hard

Propose an optimization to Dijkstra's algorithm that could enhance performance in large graphs.

💡 Hint: Think about data structures and their impact on time complexity.

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