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3 cards from this section. Quick, good the night before a test.
Define a Full Binary Tree.
Focus on the characteristics of internal nodes.
How many full binary trees are there with 2 leaves?
Consider the simplest case.
What defines a Full Binary Tree?
Think about what each node can have.
Catalan numbers count which of the following?
Consider their application in combinatorics.
Devise a formula based on the recurrence relation for the number of full binary trees with arbitrary n leaves.
Consider breaking it down into smaller tree components.
How would you visualize the Catalan number application in a real-world scenario, like expression grouping?
Visualize with drawings and labels to clarify the concept.
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