3 papers
math.CO2026
Differential equations for bipartite maps with bounded face degrees
Valentin Bonzom
In recent years, integrable hierarchies have been used to great advantage for the enumeration of combinatorial maps. They have led to recurrence formulas with respect to the size a…
math.CO2025
Path operators and -tau functions
Houcine Ben Dali, Valentin Bonzom, Maciej Dołęga
We construct a new class of operators that act on symmetric functions with two deformation parameters and . Our combinatorial construction associates each operator with a sp…
math.CO2023
Constraints for -deformed constellations
Valentin Bonzom, Victor Nador
Hurwitz numbers count branched covers of the sphere and have been of interest in various fields of mathematics. Motivated by the Matching-Jack conjecture of Goulden and Jackson, Ch…