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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What defines a tree in graph theory?
💡 Hint: Think about how trees are different from other graphs.
Question 2
Easy
If a tree has 7 vertices, how many edges does it have?
💡 Hint: Use the formula: n - 1.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What relationship exists between the number of vertices and edges in a tree?
- n - 1 edges
- n + 1 edges
- n edges
💡 Hint: Think about the definition of a tree.
Question 2
True or False: A tree can have cycles.
- True
- False
💡 Hint: Recall the properties of a tree.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a graph with 8 vertices and a total of 12 edges, can it be a tree? Justify your answer.
💡 Hint: Use the definition of trees.
Question 2
Construct a minimum spanning tree for a weighted graph shown below: (provide a sample graph with weights). Describe how you would apply Prim's Algorithm.
💡 Hint: Visualize the steps of adding edges without making a cycle.
Challenge and get performance evaluation