Practice Algorithm Analogy - 26.1.6 | 26. Shortest Paths in Weighted Graphs | Design & Analysis of Algorithms - Vol 1
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Algorithm Analogy

26.1.6 - Algorithm Analogy

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a weighted graph?

💡 Hint: Think about graphs with costs like distances.

Question 2 Easy

Name one application of weighted graphs.

💡 Hint: Think about systems where some paths may cost more than others.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What characterizes a weighted graph?

Each vertex has a cost
Each edge has an associated cost
The graph is circular

💡 Hint: Focus on what the edges imply in terms of graph representation.

Question 2

True or False: Dijkstra's algorithm can be used effectively on unweighted graphs.

True
False

💡 Hint: Think about how edge weights affect the algorithm.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a weighted graph with vertices representing cities and edges as roads with costs, outline how you would employ Dijkstra’s algorithm to find the least expensive route from City A to City C.

💡 Hint: Visualize the graph and track costs methodically.

Challenge 2 Hard

Create a unique scenario with a weighted graph where Dijkstra’s algorithm may produce different outcomes when edge weights are modified.

💡 Hint: Think about real-life implications, like changing speed limits affecting travel time.

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