Web Reference: Jan 11, 2026 ยท The recursion tree method is used to analyze the time complexity of recursive algorithms by visually representing the recurrence as a tree. Each node of the tree represents the work done in a single recursive call, and each level represents one stage of the recursion. First let's create a recursion tree for the recurrence T (n) = T (n 3) + T (2 n 3) and assume that n is an exact power of 3. Each level has 2 times more nodes than the level above, so the number of nodes at depth i is 2 i. A recursion tree is useful for visualizing what happens when a recurrence is iterated. It diagrams the tree of recursive calls and the amount of work done at each call.
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Last Updated: April 9, 2026

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