A Hopf algebra on subgraphs of a graph
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graphalgebrahopfstructurealgebraiccategoryfurthersubgraphs
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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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