3 papers
math.CO2023
A co-preLie structure from chronological loop erasure in graph walks
Loïc Foissy, Pierre-Louis Giscard, Cécile Mammez
We show that the chronological removal of cycles from a walk on a graph, known as Lawler's loop-erasing procedure, generates a preLie co-algebra on the vector space spanned by the…
math.CO2020
Weak stuffle algebras
Cécile Mammez
Motivated by q-shuffle products determined by Singer from q-analogues of multiple zeta values, we build in this article a generalisation of the shuffle and stuffle products in term…
math.CO2018
On the combinatorics of the Hopf algebra of dissection diagrams
Cécile Mammez
In this article, we are interested in the Hopf algebra of dissection diagrams introduced by Dupont in his thesis. We use the version with a parameter $x\in\mathbb…