TY - CONF
TI - On the capacity of D2D social networks with fractal communications
AU - Chen, Ying
AU - Li, Rongpeng
AU - Zhao, Zhifeng
AU - Zhang, Honggang
T2 - IEEE ICT 2018
AB - The maximum capacity of a D2D (device-to-device) social network with fractal interactions is studied in this paper. Specifically, the self-similarity of a fractal network is mathematically formulated by a power-law degree distribution $ P(k) $, and the social connection feature between two users with degree $ k_{1} $ and $ k_{2} $ is captured by a joint probability distribution $ P(k_{1},k_{2}) $. It is proved that if the source user communicates with one of his contacts randomly, the maximum capacity is $ \Theta\left(\frac{1}{\sqrt{n\log n}}\right) $. On the other hand, if two users with distance $ d $ communicate according to the probability $ d^{-\beta} $, the maximum capacity can reach up to $ \Theta\left(\frac{1}{\log n}\right) $, where $ \beta $ is the frequency parameter.
C1 - Saint-Malo, France
C3 - Proc. IEEE ICT 2018
DA - 2018/06//
PY - 2018
DP - IEEE Xplore
KW - Analytical models
KW - Cellular networks
KW - Complex networks
KW - Correlation
KW - Fractals
KW - Measurement
KW - Urban areas
ER -