Abstract: The degree profile in a random planted plane tree was considered. For any d≥1 , it was proven that under suitable normalization, the number of vertices of degree d in a random planted plane tree with n edges has asymptotic normality, as n goes to infinity. The asymptotic formulae for the expectation and variance of this random variable were also given. An analytical method was employed in the proof.

Key words: random tree, degree profile, saddle point method, Hurwitz theorem