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math.CO2014
Balance in Random Trees
Azer Akhmedov, Warren Shreve
We prove that a random labeled (unlabeled) tree is balanced. We also prove that random labeled and unlabeled trees are strongly -balanced for any .
math.CO2012
Statistical Distributions and -Analogues of -Fibonacci Numbers
Adam M. Goyt, Brady L. Keller, Jonathan E. Rue
We study -analogues of -Fibonacci numbers that arise from weighted tilings of an board with tiles of length at most . The weights on our tilings arise naturally…