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arXiv · 1812.09087

A Hopf algebra on subgraphs of a graph

Xiaomeng Wang·Shoujun Xu·Xing Gao
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Abstract

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 covariant functor from a graph category to an algebra category.

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Xiaomeng Wang, Shoujun Xu, Xing Gao. 2019-07-21. A Hopf algebra on subgraphs of a graph. https://arxiv.org/abs/1812.09087

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