Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weights of Cliques in a Random Graph Model Based on Three-Interactions   A random graph evolution rule is considered. The graph evolution is based on
interactions of three vertices. The weight of a clique is the number of its
interactions. The asymptotic behaviour of the weights is described. It is known
that the weight distribution of the vertices is asymptotically a power law.
Here it is proved that the weight distributions both of the edges and the
triangles are also asymptotically power laws. The proofs are based on discrete
time martingale methods. Some numerical results are also presented.

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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th