Classification of Graph Fractaloids

Details Classification of Graph Fractaloids Classification of Graph Fractaloids

2009-02-03

arxiv.org/abs/0902.0522v1

Physics

Mathematical Physics

36 pages

Scientific paper

In this paper, we observe graph fractaloids, which are the graph groupoids with fractal property. In particular, we classify them in terms of the spectral data of certain Hilbert space operators, called the radial operators. Based on these 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 graph fractaloids are classified by such pairs.

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