7 citations · 9 across the 5 of their papers we have counts for
5 papers
Combinatorial expressions of Hopf polynomial invariants
Théo Karaboghossian
In 2017 Aguiar and Ardila provided a generic way to construct polynomial invariants of combinatorial objects using the notions of Hopf monoids and characters of Hopf monoids. They…
Graph insertion operads
Jean-Christophe Aval, Samuele Giraudo, Théo Karaboghossian +1
Using the combinatorial species setting, we propose two new operad structures on multigraphs and on pointed oriented multigraphs. The former can be considered as a canonical operad…
Operads on graphs: extending the pre-Lie operad and general construction
Jean-Christophe Aval, Samuele Giraudo, Théo Karaboghossian +1
The overall aim of this paper is to define a structure of graph operads, thus generalizing the celebrated pre-Lie operad on rooted trees. More precisely, we define two operads on m…
Polynomial invariants and reciprocity theorems for the Hopf monoid of hypergraphs and its sub-monoids
Jean-Christophe Aval, Théo Karaboghossian, Adrian Tanasa
In arXiv:1709.07504 Aguiar and Ardila give a Hopf monoid structure on hypergraphs as well as a general construction of polynomial invariants on Hopf monoids. Using these results, w…
The Hopf monoid of hypergraphs and its sub-monoids: basic invariant and reciprocity theorem
Jean-Christophe Aval, Théo Karaboghossian, Adrian Tanasa
In arXiv:1709.07504 Ardila and Aguiar give a Hopf monoid structure on hypergraphs as well as a general construction of polynomial invariants on Hopf monoids. Using these results, w…