activity
20012022
most citedEquality of P-partition generating functions

22 citations · 57 across the 20 of their papers we have counts for

collaborators

21 papers

math.CO2022★ 5 cited

Quasisymmetric functions distinguishing trees

Jean-Christophe Aval, Karimatou Djenabou, Peter R. W. McNamara

A famous conjecture of Stanley states that his chromatic symmetric function distinguishes trees. As a quasisymmetric analogue, we conjecture that the chromatic quasisymmetric funct…

math.CO2020★ 1 cited

Positivity among P-partition generating functions

Nathan R. T. Lesnevich, Peter R. W. McNamara

We seek simple conditions on a pair of labeled posets that determine when the difference of their -partition enumerators is -positive, i.e., positive in Gessel's fundamen…

math.CO2018

Refining the bijections among ascent sequences, (2+2)-free posets, integer matrices and pattern-avoiding permutations

Mark Dukes, Peter R. W. McNamara

The combined work of Bousquet-Mélou, Claesson, Dukes, Jelínek, Kitaev, Kubitzke and Parviainen has resulted in non-trivial bijections among ascent sequences, (2+2)-free posets, upp…

math.CO2016

Enumeration of colored Dyck paths via partial Bell polynomials

Daniel Birmajer, Juan B. Gil, Peter R. W. McNamara +1

We consider a class of lattice paths with certain restrictions on their ascents and down steps and use them as building blocks to construct various families of Dyck paths. We let e…

math.CO2015★ 3 cited

Commutation and normal ordering for operators on symmetric functions

Emmanuel Briand, Peter R. W. McNamara, Rosa Orellana +1

We study the commutation relations and normal ordering between families of operators on symmetric functions. These operators can be naturally defined by the operations of multiplic…

math.CO2015★ 2 cited

The structure of the consecutive pattern poset

Sergi Elizalde, Peter R. W. McNamara

The consecutive pattern poset is the infinite partially ordered set of all permutations where if has a subsequence of adjacent entries in the same relative order as the…