49 citations · 166 across the 17 of their papers we have counts for
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math.CO2008★ 8 cited
Hopf Algebras of Graphs
Jean-Christophe Novelli, Jean-Yves Thibon, Nicolas M. Thiéry
We define graded Hopf algebras with bases labeled by various types of graphs and hypergraphs, provided with natural embeddings into an algebra of polynomials in infinitely many var…
math.CO2008★ 1 cited
Unital versions of the higher order peak algebras
Marcelo Aguiar, Jean-Christophe Novelli, Jean-Yves Thibon
We construct unital extensions of the higher order peak algebras defined by Krob and the third author in [Ann. Comb. 9 (2005), 411--430.], and show that they can be obtained as hom…