3 - Spanning Trees: Prim’s Algorithm
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Practice Questions
Test your understanding with targeted questions
What is a spanning tree?
💡 Hint: Think of a tree structure that includes all vertices.
What does Prim's algorithm aim to find?
💡 Hint: Consider what 'minimum cost' means in relation to edge weights.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the purpose of Prim's algorithm?
💡 Hint: Consider what the term 'minimizing cost' relates to.
Does Prim's algorithm always produce the optimal spanning tree?
💡 Hint: Recall the purpose of the algorithm.
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Challenge Problems
Push your limits with advanced challenges
Suppose you have a graph with vertices A, B, C, and D and edges with weights as follows: AB(1), AC(4), AD(3), BC(2), BD(5), CD(2). Walk through Prim's algorithm step-by-step to find the minimum spanning tree.
💡 Hint: How do you choose the next edge after the first?
Consider a scenario where multiple edges have the same weight in your graph. Discuss potential adjustments needed for Prim's algorithm to maintain optimal results.
💡 Hint: How does ambiguity in edge weights affect decision making?
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