Shoujun Xu, Xiaomeng Wang, Xing Gao
Published 2018-12-21Version 1
In this paper, we construct a bialgebraic and further a Hopf algebraic structure on top of subgraphs of a given graph. Further, we give the dual structure of this Hopf algebraic structure. We study the algebra morphisms induced by graph homomorphisms, and obtain a functor from a graph category to an algebra category.
Hopf algebra structure of symmetric and quasisymmetric functions in superspace
Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables
Weak composition quasi-symmetric functions, Rota-Baxter algebras and Hopf algebras
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