2.4.2 - Adding Edges to a Tree
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Practice Questions
Test your understanding with targeted questions
What is the definition of a tree in graph theory?
💡 Hint: Think about connectivity and cycles.
How many edges are in a tree with 6 vertices?
💡 Hint: Use the formula n-1.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a tree have that makes it different from other graphs?
💡 Hint: Focus on the definition of a tree.
Is a Minimum Cost Spanning Tree the same as any spanning tree?
💡 Hint: Consider what makes a spanning tree minimum.
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Challenge Problems
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Given a graph with 5 vertices and edges of varying costs. How would you implement Prim's algorithm to find the MCST? Illustrate the steps sequentially.
💡 Hint: Always choose edges that keep you connected and cost-efficient.
Provide a real-world example of a situation where Kruskal's algorithm might be more beneficial than Prim's algorithm.
💡 Hint: Consider scenarios involving wireless networks or cable laying.
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