26.1.2 - Exploration of Graphs
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Practice Questions
Test your understanding with targeted questions
What is a weighted graph?
💡 Hint: Think about how costs could represent real-world scenarios like distance or price.
Can you explain what Dijkstra's algorithm does?
💡 Hint: Consider how you’d navigate from one point to many others while minimizing cost.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does a weighted graph have that an unweighted graph doesn't?
💡 Hint: Think about how costs represent additional information.
True or False: Dijkstra's algorithm can be used for graphs with negative edge weights.
💡 Hint: Recall the properties required for Dijkstra's to work effectively.
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Challenge Problems
Push your limits with advanced challenges
Create a weighted graph based on a map of your city. Label the edge weights based on travel time. After that, calculate the shortest path using Dijkstra's algorithm and provide your results.
💡 Hint: Pay close attention to the edge weights during calculations to ensure accuracy.
Given a matrix representation of a weighted graph with several vertices, identify negative cycles and discuss the suitability of Dijkstra’s algorithm for this scenario.
💡 Hint: Review properties of negative cycles and their implications on graphs.
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