On bialgebras and Hopf algebras of oriented graphs
Combinatorics
2011-07-05 v3
Abstract
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.
Cite
@article{arxiv.1011.3032,
title = {On bialgebras and Hopf algebras of oriented graphs},
author = {Dominique Manchon},
journal= {arXiv preprint arXiv:1011.3032},
year = {2011}
}
Comments
7 pages, error on Proposition 1 corrected, one figure added