Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling of critical connectivity of mobile ad hoc communication networks   In this paper, critical global connectivity of mobile ad hoc communication
networks (MAHCN) is investigated. We model the two-dimensional plane on which
nodes move randomly with a triangular lattice. Demanding the best communication
of the network, we account the global connectivity $\eta$ as a function of
occupancy $\sigma$ of sites in the lattice by mobile nodes. Critical phenomena
of the connectivity for different transmission ranges $r$ are revealed by
numerical simulations, and these results fit well to the analysis based on the
assumption of homogeneous mixing . Scaling behavior of the connectivity is
found as $\eta \sim f(R^{\beta}\sigma)$, where $R=(r-r_{0})/r_{0}$, $r_{0}$ is
the length unit of the triangular lattice and $\beta$ is the scaling index in
the universal function $f(x)$. The model serves as a sort of site percolation
on dynamic complex networks relative to geometric distance. Moreover, near each
critical $\sigma_c(r)$ corresponding to certain transmission range $r$, there
exists a cut-off degree $k_c$ below which the clustering coefficient of such
self-organized networks keeps a constant while the averaged nearest neighbor
degree exhibits a unique linear variation with the degree k, which may be
useful to the designation of real MAHCN.

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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph