Dual of the Hopf Algebra Consisting of the Adjacency Matrices
Abstract
In this article we discuss the Hopf algebras spanned by the adjacency matrices in detail. We show that there two Hopf algebraic structures concerning the adjacency matrices, one is the copy of Connes-Kreimer Hopf algebra, another one is the copy of the dual of Connes-Kreimer Hopf algebra.
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