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19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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46 papers · 1 filter

math.CO2025

-th order generalized Fibonacci cubes and maximal cubes in Fibonacci -cubes

Michel Mollard

The Fibonacci cube is the subgraph of the hypercube induced by vertices with no consecutive 1s. We study a one parameter generalization, p-th order Fibonacci cubes $Γ^{…

math.CO2024

Distance cube polynomials of Fibonacci and Lucas-run graphs

Michel Mollard

The Fibonacci-run graphs are a family of an induced subgraph of hypercubes introduced by Eğecioğlu and Iršič in 2021. A cyclic version of , the Lucas…

math.CO2021

Generic numerical semigroups

Roland Bacher

The use of compositions simplifies some aspects of the theory of numerical semigroups. We illustrate this by giving a new proof for the asymptotic number C((1 + $\sqrt$ 5)/2) g of…

math.CO2020

Unicellular maps and filtrations of the mapping class group

Abdoul Karim Sane

This article first answers to questions about connectedness of a new family of graphs on unicellular maps. Answering these questions goes through a description of the mapping class…

math.CO2018

Weyl-Mahonian Statistics for Weighted Flags of Type A-D

Roland Bacher

We relate properties of weighted flags (or multiflags) of type AD to statistics of the corresponding Weyl groups. For type A, we recover the Mahonian statistics on symmetric groups…

math.CO2017★ 42 cited

On the nature of the generating series of walks in the quarter plane

Thomas Dreyfus, Charlotte Hardouin, Julien Roques +1

In the present paper, we introduce a new approach, relying on the Galois theory of difference equations, to study the nature of the generating series of walks in the quarter plane.…