Hopf Algebras of Graphs

Details Hopf Algebras of Graphs Hopf Algebras of Graphs

2008-12-17

arxiv.org/abs/0812.3407v1

C. R. Math. Acad. Sci. Paris, 339(9) :607-610, 2004

Mathematics

Combinatorics

Scientific paper

10.1016/j.crma.2004.09.012

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.

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