19 citations · 139 across the 46 of their papers we have counts for
48 papers
The combinatorial Hopf algebra of signed graphs
Jean-Christophe Aval, Raquel Melgar
The theory of combinatorial Hopf algebras is a powerful framework for studying algebraic invariants of combinatorial objects. The aim of this work is to incorporate chromatic invar…
-analogs of rational numbers: from Ostrowski numeration systems to perfect matchings
Jean-Christophe Aval, Sébastien Labbé
We consider the -deformation of rational numbers introduced recently by Morier-Genoud and Ovsienko. We propose three enumerative interpretations of these -rationals: in terms…
Chromatic quasisymmetric functions for signed graphs
Jean-Christophe Aval, Raquel Melgar
In 1995, Stanley introduced the chromatic symmetric function of a graph, which specializes to its chromatic polynomial, and which has been the focus of intense research. In 2017, S…
About the determinant of complete non-ambiguous trees
Jean-Christophe Aval
Complete non-ambiguous trees (CNATs) are combinatorial objects which appear in various contexts.Recently, Chen and Ohlig studied the notion of permutations associated to these obje…
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…
Baxter Tree-like Tableaux
Jean-Christophe Aval, Adrien Boussicault, Mathilde Bouvel +2
Tree-like tableaux are objects in bijection with alternative or permutation tableaux. They have been the subject of a fruitful combinatorial study for the past few years. In the pr…