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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
Nim on hypercubes
Lindsay Erickson, Warren Shreve
The ordinary game of Nim has a long history and is well-known in the area of combinatorial game theory. The solution to the ordinary game of Nim has been known for many years and l…