Complex Networks: Statistical Properties, Community Structure, and Evolution
We investigate the function for different networks based on complex network theory. In this paper, we choose five data sets from various areas to study. In the study of Chinese network, scale-free effect and hierarchical structure features are found in this complex system. These results indicate tha...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/590794 |
| Summary: | We investigate the function for different networks based on complex network theory. In this
paper, we choose five data sets from various areas to study. In the study of Chinese network,
scale-free effect and hierarchical structure features are found in this complex system. These
results indicate that the discovered features of Chinese character structure reflect the combination
nature of Chinese characters. In addition, we study the community structure in Chinese
character network. We can find that community structure is always considered as one of the
most significant features in complex networks, and it plays an important role in the topology and
function of the networks. Furthermore, we cut all the nodes in the different networks from low
degree to high degree and then obtain many networks with different scale. According to the
study, two interesting results have been obtained. First, the relationship between the node number
of the maximum communities and the number of communities in the corresponding networks
is studied and it is linear. Second, when the number of nodes in the maximum communities is
increasing, the increasing tendency of the number of its edges slows down; we predict the complex
networks have sparsity. The study effectively explains the characteristic and community
structure evolution on different networks. |
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| ISSN: | 1024-123X 1563-5147 |