A new local-world evolving network model |
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Authors: | Qin Sen and Dai Guan-Zhong |
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Institution: | School of Science, Hangzhou Dianzi University,Hangzhou 310018, China; School of Science, Hangzhou Dianzi University,Hangzhou 310018, China |
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Abstract: | In some real complex networks, only a few nodes can obtain the
global information about the entire networks, but most of the nodes
own only local connections therefore own only local information of
the networks. A new local-world evolving network model is proposed
in this paper. In the model, not all the nodes obtain local network
information, which is different from the local world network model
proposed by Li and Chen (LC model). In the LC model, each node has
only the local connections therefore owns only local information
about the entire networks. Theoretical analysis and numerical
simulation show that adjusting the ratio of the number of nodes
obtaining the global information of the network to the total number
of nodes can effectively control the valuing range for the power-law
exponent of the new network. Therefore, if the topological structure
of a complex network, especially its exponent of power-law degree
distribution, needs controlling, we just add or take away a few
nodes which own the global information of the network. |
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Keywords: | complex networks local-world
evolving network power-law |
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