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Abstract: In this paper, we observe graph fractaloids, which are the graph groupoidswith fractal property. In particular, we classify them in terms of the spectraldata of certain Hilbert space operators, called the radial operators. Based onthese information, we can define the pair of two numbers $N {0},$ $N^{0}$,for a given graph fractaloid G, called the fractal pair of G. The graphfractaloids are classified by such pairs.



Author: Ilwoo Cho, Palle E. T. Jorgensen

Source: https://arxiv.org/







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