Mathematics > Combinatorics
[Submitted on 21 Dec 2018 (v1), last revised 21 Jul 2019 (this version, v2)]
Title:A Hopf algebra on subgraphs of a graph
View PDFAbstract: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.
Submission history
From: XiaoMeng Wang [view email][v1] Fri, 21 Dec 2018 12:44:32 UTC (18 KB)
[v2] Sun, 21 Jul 2019 01:05:13 UTC (18 KB)
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