21 citations · 51 across the 14 of their papers we have counts for
16 papers
Ordering, Artin--Tits group, Garside structure
Jean Fromentin, Eddy Godelle
A Dehornoy structure is a tool used to obtain a left order in the Garside group~. Arcis and Paris introduced two conditions, known as Condition~ and Condition~. When they…
Effective approach of the tridendriform Schroeder tree algebra
Pierre Catoire, Jean Fromentin
We introduce a primitive computation problem in the free tridendriform algebra generated by one element which is a Hopf algebra based on Schroeder trees. We know a complex way to g…
A verification of Wilf's conjecture up to genus 100
Manuel Delgado, Shalom Eliahou, Jean Fromentin
For a numerical semigroup , let denote its multiplicity, embedding dimension, conductor and genus, respectively. Wilf's conjecture (1978) states t…
Realizable cycle structures in digraphs
J. Fromentin, P. -L Giscard, T. Karaboghossian
Simple cycles on a digraph form a trace monoid under the rule that two such cycles commute if and only if they are vertex disjoint. This rule describes the spatial configuration of…
Is the Syracuse falling time bounded by 12?
Shalom Eliahou, Jean Fromentin, Rénald Simonetto
Let denote the function, where if is even, if is odd. As an accelerated version of , we define a j…
Experiments on growth series of braid groups
Jean Fromentin
We introduce an algorithmic framework to investigate spherical and geodesic growth series of braid groups relatively to the Artin's or Birman-Ko-Lee's generators. We present our ex…