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math.CO2019
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…
math.CO2019★ 1 cited
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…