2.4.1 - Number of Edges in a Tree
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Practice Questions
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What defines a tree in graph theory?
💡 Hint: Think about how trees are different from other graphs.
If a tree has 7 vertices, how many edges does it have?
💡 Hint: Use the formula: n - 1.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What relationship exists between the number of vertices and edges in a tree?
💡 Hint: Think about the definition of a tree.
True or False: A tree can have cycles.
💡 Hint: Recall the properties of a tree.
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Challenge Problems
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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.
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.
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