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arxiv: 1404.1153 · v1 · pith:XRGR2TI7new · submitted 2014-04-04 · 🧮 math.CO

Balance in Random Trees

classification 🧮 math.CO
keywords randombalancedlabeledprovetreesunlabeledbalancestrongly
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We prove that a random labeled (unlabeled) tree is balanced. We also prove that random labeled and unlabeled trees are strongly $k$-balanced for any $k\geq 3$.

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