Secant Tree Calculus
Combinatorics
2013-04-10 v1
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<= 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.
Keywords
Cite
@article{arxiv.1304.2485,
title = {Secant Tree Calculus},
author = {Dominique Foata and Guo-Niu Han},
journal= {arXiv preprint arXiv:1304.2485},
year = {2013}
}