2.3 - Cost of Spanning Trees
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Practice Questions
Test your understanding with targeted questions
What constitutes a spanning tree?
💡 Hint: Think about the characteristics of trees in graph theory.
How many edges does a tree with n vertices have?
💡 Hint: Consider how trees connect vertices.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a Minimum Cost Spanning Tree?
💡 Hint: Focus on the 'minimum cost' aspect.
True or False: Kruskal's Algorithm starts from a single vertex.
💡 Hint: Consider how each algorithm approaches its start.
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Challenge Problems
Push your limits with advanced challenges
Given a set of vertices and weighted edges, illustrate both Prim's and Kruskal's algorithms step by step on your graph.
💡 Hint: Ensure to represent cycles correctly throughout the process.
In a graph where weights are randomly assigned, identify a scenario where Kruskal’s might be more efficient than Prim's.
💡 Hint: Consider the nature of the graph and available edges.
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