51 citations · 202 across the 15 of their papers we have counts for
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On the convergence of monotone Hurwitz generating functions
I. P. Goulden, Mathieu Guay-Paquet, Jonathan Novak
Monotone Hurwitz numbers were introduced by the authors as a combinatorially natural desymmetrization of the Hurwitz numbers studied in enumerative algebraic geometry. Over the cou…
A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra
Mathieu Guay-Paquet
This is a set of working notes which give a second proof of the Shareshian--Wachs conjecture, the first (and recent) proof being by Brosnan and Chow in November 2015. The conjectur…
The generating function for total displacement
T. Kyle Petersen, Mathieu Guay-Paquet
In a 1977 paper, Diaconis and Graham studied what Knuth calls the total displacement of a permutation , which is the sum of the distances . In recent work of the first…
Toda Equations and Piecewise Polynomiality for Mixed Double Hurwitz Numbers
I. P. Goulden, Mathieu Guay-Paquet, Jonathan Novak
This article introduces mixed double Hurwitz numbers, which interpolate combinatorially between the classical double Hurwitz numbers studied by Okounkov and the monotone double Hur…
A modular relation for the chromatic symmetric functions of (3+1)-free posets
Mathieu Guay-Paquet
We consider a linear relation which expresses Stanley's chromatic symmetric function for a poset in terms of the chromatic symmetric functions of some closely related posets, which…
Structure and enumeration of (3+1)-free posets
Mathieu Guay-Paquet, Alejandro H. Morales, Eric Rowland
A poset is (3+1)-free if it does not contain the disjoint union of chains of length 3 and 1 as an induced subposet. These posets play a central role in the (3+1)-free conjecture of…