Meir, A.; Moon, J. W. A note on trees with concentrated maximum degrees. (English) Zbl 0821.05013 Util. Math. 42, 61-64 (1992). Summary: It is shown that if \(\mathcal F\) is a simply generated family of rooted trees, whose generating function satisfies certain conditions, then the maximum node-degree \(\Delta(T_ n)\) is, with probability converging to 1, one of two consecutive integer values. Cited in 1 Document MSC: 05C05 Trees Keywords:rooted trees; generating function; maximum node-degree PDFBibTeX XMLCite \textit{A. Meir} and \textit{J. W. Moon}, Util. Math. 42, 61--64 (1992; Zbl 0821.05013)