Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatial Motifs for Device-to-Device Network Analysis in Cellular
  Networks   Device-to-device (D2D) communication is a promising approach to efficiently
disseminate critical or viral information. Reaping the benefits of D2D-enabled
networks is contingent upon choosing the optimal content dissemination policy
subject to resource and user distribution constraints. In this paper, a novel
D2D network analysis framework is proposed to study the impacts of frequently
occurring subgraphs, known as motifs, on D2D network performance and to
determine an effective content dissemination strategy. In the proposed
framework, the distribution of devices in the D2D network is modeled as a
Thomas cluster process (TCP), and two graph structures, the star and chain
motifs, are studied in the communication graph. Based on the properties of the
TCP, closed-form analytical expressions for the statistical significance, the
outage probability, as well as the average throughput per device, are derived.
Simulation results corroborate the analytical derivations and show the
influence of different system topologies on the occurrence of motifs and the
D2D system throughput. More importantly, the results highlight that, as the
statistical significance of motifs increases, the system throughput will
initially increase, and, then, decrease. Hence, network operators can obtain
statistical significance regions for chain and star motifs that map to the
optimal content dissemination performance. Furthermore, using the obtained
regions and the analytical expressions for statistical significance, network
operators can effectively identify which clusters of devices can be leveraged
for D2D communications while determining the number of serving devices in each
identified cluster.

18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin