11.2.1 - Finding the Minimum Distance
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Practice Questions
Test your understanding with targeted questions
What is the primary purpose of Dijkstra’s algorithm?
💡 Hint: Recall what type of problems requires the shortest distance.
What is a min-heap?
💡 Hint: Think about how parent and child relationships work in trees.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What data structure does Dijkstra's Algorithm use for selecting the next vertex?
💡 Hint: Consider which data structure allows for quick access to the smallest value.
Heap violations are fixed upwards when:
💡 Hint: Think about the implications of increasing a node's value relative to it parent.
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Challenge Problems
Push your limits with advanced challenges
Using the graph defined by vertices 1-4 and edges (1-2, cost 4), (1-3, cost 1), (2-4, cost 1), (3-4, cost 5). Demonstrate the application of Dijkstra’s Algorithm starting from vertex 1.
💡 Hint: Trace the path carefully, recording minimum distances achieved.
Describe the implications of using an array versus a heap for implementing Dijkstra’s algorithm in terms of time complexity and performance.
💡 Hint: Compare the efficiency by considering retrieval of the minimum element.
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