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The Distribution of the Deepest Leaves in Binary Trees

math.CO · 2026-05-12 · accept · novelty 7.0

In random binary trees the number of deepest leaves follows a distribution with mean approximately 2.8037, P(exactly two) approximately 0.7009, and tail probability decaying as 4 to the minus m.

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  • The Distribution of the Deepest Leaves in Binary Trees math.CO · 2026-05-12 · accept · none · ref 3

    In random binary trees the number of deepest leaves follows a distribution with mean approximately 2.8037, P(exactly two) approximately 0.7009, and tail probability decaying as 4 to the minus m.