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- W2890936732 abstract "The maximum capacity, i.e., the maximum bit rate per second of each user, 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 $Theta(frac{1}{sqrt{nlog n}})$ , where $n$ is the number of users in the network. On ‘the other hand, if two users with distance $d$ communicate according to the probability $d^{-beta}$ , the maximum capacity can reach up to $Theta(frac{1}{log n})$ ‘ where $beta$ is the frequency parameter." @default.
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- W2890936732 date "2018-06-01" @default.
- W2890936732 modified "2023-09-24" @default.
- W2890936732 title "On the Capacity of D2D Social Networks With Fractal Communications" @default.
- W2890936732 doi "https://doi.org/10.1109/ict.2018.8464926" @default.
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