Properties of asymmetrically evolved community networks |
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Authors: | Cui Di Gao Zi-You and Zheng Jian-Feng |
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Institution: | State Key Laboratory of Rail Traffic Control and Safety,
Schools of Traffic and Transportation,
Beijing Jiaotong University, Beijing
100044, China |
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Abstract: | This paper studies a simple asymmetrically evolved community
network with a combination of preferential attachment and random
properties. An important issue about community networks is to
discover the different utility increments of two nodes, where the
utility is introduced to investigate the asymmetrical effect of
connecting two nodes. On the other hand, the connection of two nodes
in community networks can be classified as two nodes belonging to the
same or to different communities. The simulation results show that the
model can reproduce a power-law utility distribution P(u)~u-σ, σ = 2 + 1/p, which can be obtained by
using mean-field approximation methods. Furthermore, the model
exhibits exponential behaviour with respect to small values of a
parameter denoting the random effect in our model at the low-utility
region and a power-law feature with respect to big values of this
parameter at the high-utility region, which is in good agreement with
theoretical analysis. This kind of community network can reproduce
a unique utility distribution by theoretical and numerical analysis. |
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Keywords: | community networks asymmetrical utility |
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