Practice Cost Of Spanning Trees (2.3) - Minimum Cost Spanning Trees - Design & Analysis of Algorithms

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8 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What constitutes a spanning tree?
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Think about the characteristics of trees in graph theory.
Question 2.
How many edges does a tree with n vertices have?
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Consider how trees connect vertices.
3Question 3.
What is a Minimum Cost Spanning Tree?
- A tree that connects all nodes with minimum edges
- A tree with the least edge weight
- A cycle-free graph
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Focus on the 'minimum cost' aspect.
4Question 4.
True or False: Kruskal's Algorithm starts from a single vertex.
- True
- False
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Consider how each algorithm approaches its start.
Question 5.
Given a set of vertices and weighted edges, illustrate both Prim's and Kruskal's algorithms step by step on your graph.
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Ensure to represent cycles correctly throughout the process.
Question 6.
In a graph where weights are randomly assigned, identify a scenario where Kruskal’s might be more efficient than Prim's.
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Consider the nature of the graph and available edges.

4 more questions in this section. Enroll free to practise them all.