5.3.1 - Checking for Cycles
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Practice Questions
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What is a minimum cost spanning tree?
💡 Hint: Think about the total weights of connecting all nodes.
What does Kruskal's algorithm start with?
💡 Hint: Consider the importance of edge weights in the algorithm.
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Interactive Quizzes
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What is the first step in Kruskal's algorithm?
💡 Hint: Remember the order of operations in Kruskal's algorithm.
True or False: Kruskal's algorithm can result in cycles in the spanning tree.
💡 Hint: Think about how the algorithm maintains tree properties.
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Challenge Problems
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Given a weighted graph with the following edges and weights: { (A, B, 1), (B, C, 2), (A, C, 3), (C, D, 4) }, apply Kruskal's algorithm to determine the minimum spanning tree and calculate its total weight.
💡 Hint: Start by sorting edges based on their weights.
Consider a graph where there are 6 vertices and 7 edges. If you apply Kruskal's algorithm, what is the maximum number of edges you can add to the spanning tree without creating a cycle?
💡 Hint: Recall the property of trees regarding edges and vertices.
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