On bialgebras and Hopf algebras of oriented graphs

Mathematics – Combinatorics

Scientific paper

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7 pages, error on Proposition 1 corrected, one figure added

Scientific paper

We define two coproducts for cycle-free oriented graphs, thus building up two
commutative con- nected graded Hopf algebras, such that one is a
comodule-coalgebra on the other, thus generalizing the result obtained
previously for Hopf algebras of rooted trees.

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