3 papers
math.CO2025
-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…
math.CO2025
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…
math.CO2024
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…