26.1.5 - Types of Shortest Path Problems
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Practice Questions
Test your understanding with targeted questions
What is a weighted graph?
💡 Hint: Think about how real-world costs can be represented on a graph.
Describe a real-world example of a single-source shortest path problem.
💡 Hint: Consider transportation logistics.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What constitutes a weighted graph?
💡 Hint: Consider how graph structures represent different factors.
True or False: The all-pairs shortest path problem finds paths only from one vertex.
💡 Hint: Recall the definitions we discussed.
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Challenge Problems
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Design a logistical problem using a weighted graph and apply Dijkstra's algorithm to determine the most efficient route from a factory to multiple delivery points.
💡 Hint: Map out your graph clearly! Focus on the starting point.
Critically evaluate how variations in edge weights (for example, introducing negative weights) could affect Dijkstra's algorithm's performance.
💡 Hint: Reflect on what happens with negative costs.
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