Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generating hierarchial scale free graphs from fractals   Motivated by the hierarchial network model of E. Ravasz, A.-L. Barabasi, and
T. Vicsek, we introduce deterministic scale-free networks derived from a graph
directed self-similar fractal $\Lambda $.
  With rigorous mathematical results we verify that our model captures some of
the most important features of many real networks: the scale free and the high
clustering properties. We also prove that the diameter is the logarithm of the
size of the system. Using our (deterministic) fractal $\Lambda $ we generate
random graph sequence sharing similar properties.

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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
18
The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph