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@misc{papier,
	Author = {Aval, Jean-Christophe and Karaboghossian, Th{\'e}o and Tanasa, Adrian},
	Date-Added = {2020-02-05 11:47:09 +1100},
	Date-Modified = {2020-02-05 11:47:33 +1100},
	Eprint = {1806.08546},
	Eprinttype = {arXiv},
	Note = {To appear in Elec. J. Comb.},
	Title = {The {H}opf monoid of hypergraphs and its sub-monoids: basic invariant and reciprocity theorem},
	Year = 2019}

@misc{papier_old,
	Author = {Aval, Jean-Christophe and Karaboghossian, Th{\'e}o and Tanasa, Adrian},
	Date-Modified = {2020-02-05 11:47:04 +1100},
	Eprint = {1709.07504},
	Eprinttype = {arxiv},
	Title = {Basic invariants and reciprocity theorems for the {H}opf monoid of hypergraphs and its sub-monoids},
	Year = 2018}

@misc{HAC,
	Author = {Grinberg, Darij and Reiner, Victor},
	Eprint = {1409.8356},
	Eprinttype = {arxiv},
	Title = {Hopf {A}lgebras in {C}ombinatorics},
	Year = 2016}

@incollection{am,
	Author = {Aguiar, Marcelo and Mahajan, Swapneel},
	Booktitle = {Hopf Algebras and Tensor Categories},
	Date-Modified = {2019-05-10 15:36:43 +1000},
	Doi = {10.1090/conm/585/11665},
	Number = {585},
	Pages = {17--124},
	Publisher = {Amer. Math. Soc., Providence, RI},
	Series = {Contemp. Math.},
	Title = {Hopf monoids in the category of species},
	Year = 2013,
	Bdsk-Url-1 = {https://doi.org/10.1090/conm/585/11665}}

@article{joy,
	Author = {Joyal, Andr{\'e}},
	Date-Modified = {2019-05-10 15:39:34 +1000},
	Doi = {10.1016/0001-8708(81)90052-9},
	Journal = {Adv. in Math.},
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	Title = {Une th{\'e}orie combinatoire des s{\'e}ries formelles},
	Volume = 42,
	Year = 1981,
	Bdsk-Url-1 = {https://doi.org/10.1016/0001-8708(81)90052-9}}

@misc{AA,
	Author = {Aguiar, Marcelo and Ardila, Federico},
	Eprint = {1709.07504},
	Eprinttype = {arxiv},
	Title = {Hopf monoids and generalized permutahedra},
	Year = 2017}

@article{ABS,
	Author = {Aguiar, Marcelo and Bergeron, Nantel and Sottile, Frank},
	Date-Modified = {2019-05-10 15:31:55 +1000},
	Doi = {10.1112/S0010437X0500165X},
	Journal = {Compos. Math.},
	Number = {1},
	Pages = {1--30},
	Title = {Combinatorial {H}opf algebras and generalized {D}ehn-{S}ommerville relations},
	Volume = 142,
	Year = 2006,
	Bdsk-Url-1 = {https://doi.org/10.1112/S0010437X0500165X}}

@inbook{bll,
	Author = {Bergeron, Fran{\c c}ois and Labelle, Gilbert and Leroux, Pierre},
	Chapter = 1,
	Publisher = {Publications du Lacim},
	Title = {Th{\'e}orie des esp{\`e}ces et combinatoire des structures arborescentes},
	Year = 1994}

@article{Ge,
	Author = {Gessel, Ira},
	Journal = {Combinatorics and algebra ({B}oulder, Colo., 1983)},
	Pages = {289--317},
	Title = {Multipartite {P}-partitions and inner products of skew Schur functions},
	Year = 1984}

@article{MR,
	Author = {Malvenuto, Clauda and Reutenauer, Christophe},
	Journal = {Journal of Algebra},
	Number = 3,
	Pages = {967--982},
	Title = {Duality between quasi-symmetric functions and the {S}olomon descent algebra},
	Volume = 177,
	Year = 1995}

@misc{BB,
	Author = {Bergeron, Nantel and Benedetti, Carolina},
	Eprint = {1611.01657},
	Eprinttype = {arxiv},
	Title = {Cancelation free formula for the antipode of linearized {H}opf monoid},
	Year = 2016}

@inbook{am2,
	Author = {Aguiar, Marcelo and Mahajan, Swapneel},
	Chapter = 15,
	Date-Modified = {2019-05-10 15:33:56 +1000},
	Number = {29},
	Publisher = {American Mathematical Society, Providence, R.I.},
	Series = {CRM Monograph Series},
	Title = {Monoidal Functors, Species and {H}opf Algebras},
	Year = 2010}

@article{Er,
	Author = {Marberg, Eric},
	Journal = {Algebr {C}omb},
	Pages = {391--428},
	Title = {Strong forms of linearization for {H}opf monoids in species},
	Volume = 42,
	Year = 2015}

@article{stan,
	Author = {Stanley, Richard P.},
	Date-Modified = {2019-05-10 15:41:46 +1000},
	Doi = {10.1016/0012-365X(73)90108-8},
	Journal = {Discrete {M}ath},
	Pages = {171--178},
	Title = {Acyclic orientations of graphs},
	Volume = 5,
	Year = 1973,
	Bdsk-Url-1 = {https://doi.org/10.1016/0012-365X(73)90108-8}}

@article{sc,
	Author = {Benedetti, Carolina and Hallam, Joshua and Machacek, John},
	Date-Modified = {2019-05-10 15:38:31 +1000},
	Doi = {10.1137/15M1038281},
	Journal = {SIAM J. Discrete Math.},
	Number = 3,
	Pages = {1737--1757},
	Title = {Combinatorial {H}opf algebras of simplicial complexes},
	Volume = 30,
	Year = 2016,
	Bdsk-Url-1 = {https://doi.org/10.1137/15M1038281}}

@article{gr,
	Author = {Gruji{\'c}, Vladimir},
	Note = {arXiv:1409.1420},
	Title = {Quasisymmetric functions for nestohedra},
	Year = 2014}

@article{DCP,
	Author = {De Concini, C. and Procesi, C.},
	Journal = {Selecta {M}ath},
	Number = 3,
	Pages = {459--494},
	Title = {Wonderful models of subspace arrangements},
	Volume = 1,
	Year = 1995}

@article{Schmi,
	Author = {Schmitt, William R.},
	Journal = {J. {P}ure {A}ppl. {A}lgebra},
	Number = 1,
	Pages = {77-90},
	Title = {Hopf algebra methods in graph theory},
	Volume = 101,
	Year = 1995}

@misc{DKT,
	Author = {Duchamp, G. H. and {Hoang-Nghia}, N. and Krajewski, T. and Tanasa, A.},
	Eprint = {1310.5516},
	Eprinttype = {arxiv},
	Journal = {Advances in {A}pplied {M}athematics},
	Title = {Renormalization group-like proof of the universality of the {T}utte polynomial for matroids},
	Year = 2013}

@article{KMT,
	Author = {Krajewski, Thomas and Moffatt, Iain and Tanasa, Adrian},
	Date-Modified = {2019-05-10 15:40:29 +1000},
	Doi = {10.1016/j.aam.2017.12.001},
	Journal = {Adv. in Appl. Math.},
	Pages = {271--330},
	Title = {Hopf algebras and {T}utte polynomials},
	Volume = 95,
	Year = 2018,
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aam.2017.12.001}}

@article{HypB,
	Author = {Benedetti, Carolina and Bergeron, Nantel and Machacek, John},
	Date-Modified = {2020-02-05 11:52:24 +1100},
	Doi = {10.4310/JOC.2019.v10.n3.a4},
	Journal = {J. Combin.},
	Number = {3},
	Pages = {515--544},
	Title = {Hypergraphic polytopes: combinatorial properties and antipode},
	Volume = {10},
	Year = 2019}