Cent. Eur. J. Math. 12 (2014), no. 12, 1852--1870.

Dominique Foata, Guo-Niu Han

SECANT TREE CALCULUS

Abstract. A true Tree Calculus is being developed to make a joint study of the two statistics ``eoc'' (end of minimal chain) and ``pom'' (parent of maximum leaf) on the set of secant trees. Their joint distribution restricted to the set {eoc-pom at most equal to 1} is shown to satisfy two partial difference equation systems, to be symmetric and to be expressed in the form of an explicit three-variable generating function.

foata at unistra dot fr, guoniu dot han at unistra dot fr

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