385 citations · 2.2k across the 54 of their papers we have counts for
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Some structural and enumerative aspects of discrete surfaces and PL-manifolds
Valentin Bonzom
This manuscript recounts some of the author's contributions to algebraic and enumerative combinatorics. We have focused on two types of generalizations of bipartite maps, which are…
Topological recursion for Orlov-Scherbin tau functions, and constellations with internal faces
Valentin Bonzom, Guillaume Chapuy, Séverin Charbonnier +1
We study the correlators arising from Orlov-Scherbin 2-Toda tau functions with rational content-weight , at arbitrary values of the two sets of time parameters. Com…
Enumeration of non-oriented maps via integrability
Valentin Bonzom, Guillaume Chapuy, Maciej Dołęga
In this note, we examine how the BKP structure of the generating series of several models of maps on non-oriented surfaces can be used to obtain explicit and/or efficient recurrenc…
-monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, and -BGW integral
Valentin Bonzom, Guillaume Chapuy, Maciej Dołęga
We study a -deformation of monotone Hurwitz numbers, obtained by deforming Schur functions into Jack symmetric functions. We give an evolution equation for this model and derive…
Maximizing the number of edges in three-dimensional colored triangulations whose building blocks are balls
Valentin Bonzom
Colored triangulations offer a generalization of combinatorial maps to higher dimensions. Just like maps are gluings of polygons, colored triangulations are built as gluings of spe…
Counting gluings of octahedra
Valentin Bonzom, Luca Lionni
Three--dimensional colored triangulations are gluings of tetrahedra whose faces carry the colors 0, 1, 2, 3 and in which the attaching maps between tetrahedra are defined using the…