Hopf Algebras of Graphs
Novelli, Jean-Christophe ; Thibon, Jean-Yves ; Thiéry, Nicolas M.
HAL, hal-00632273 / Harvested from HAL
Text on HAL
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 variables. These algebras are graded by the number of edges and can be considered as generalizations of symmetric or quasi-symmetric functions.
Publié le : 2004-07-05
Classification:  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] 
@article{hal-00632273,
     author = {Novelli, Jean-Christophe and Thibon, Jean-Yves and Thi\'ery, Nicolas M.},
     title = {Hopf Algebras of Graphs},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00632273}
}

Novelli, Jean-Christophe; Thibon, Jean-Yves; Thiéry, Nicolas M. Hopf Algebras of Graphs. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00632273/