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Tree Calculus for Bivariable Difference Equations (1304.2484v1)
Published 9 Apr 2013 in math.CO
Abstract: Following Poupard's study of strictly ordered binary trees with respect to two parameters, namely, "end of minimal chain" and "parent of maximum leaf" a true Tree Calculus is being developed to solve a partial difference equation system and then make a joint study of those two statistics. Their joint distribution is shown to be symmetric and to be expressed in the form of an explicit three-variable generating function.
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