Unlabeled trees: Distribution of the maximum degree

Pick a tree uniformly at random from among all unlabeled trees on n vertices, and let X_n be the maximum of the degrees of its vertices. For any fixed integer d, as n→∞, where μ_n = c₁ log n, where {μ_n} : = μ_n – ?μ? denotes the fractional part of μ_n and where c_o, c₁, and η_∞ are knnown constants, givenb approximately by c₀ = 3.262 …, c₁ = 0.9227 …, and η_∞ = 0.3383…. © 1994 John Wiley & Sons, Inc.