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A multivariate hook formula for labelled trees
hook formula tree enumeration representation theory of symmetric groups finite difference operators multivariate Lagrange inversion
2012/5/24
Several hook summation formulae for binary trees have appeared recently in the literature. In this paper we present an analogous formula for unordered increasing trees of size r, which involves r para...
A multivariate "inv" hook formula for forests
hook formula forests moulds binary search free quasisymmetric functions Loday-Ronco algebra
2011/9/14
Abstract: Bjoerner and Wachs provided two q-generalizations of Knuth's hook formula counting linear extensions of forests: one involving the major index statistic, and one involving the inversion numb...