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Network Entropy Based on Topology Configuration and Its Computation to Random Networks |
| LI Ji1,2, WANG Bing-Hong2, WANG Wen-Xu2, ZHOU Tao2 |
| 1Department of Physics, Fuyang Normal College, Fuyang 2360412Department of Modern Physics, University of Science and Technology of China, Hefei 230026 |
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| Cite this article: |
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LI Ji, WANG Bing-Hong, WANG Wen-Xu et al 2008 Chin. Phys. Lett. 25 4177-4180 |
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Abstract A definition of network entropy is presented, and as an example, the relationship between the value of network entropy of ER network model and the connect probability p as well as the total nodes N is discussed. The theoretical result and the simulation result based on the network entropy of the ER network are in agreement well with each other. The result indicated that different from the other network entropy reported before, the network entropy defined here has an obvious difference from different type of random networks or networks having different total nodes. Thus, this network entropy may portray the characters of complex networks better. It is also pointed out that, with the aid of network entropy defined, the concept of equilibrium networks and the concept of non-equilibrium networks may be introduced, and a quantitative measurement to describe the deviation to equilibrium state of a complex network is carried out.
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| Keywords:
89.75.Hc
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Received: 19 April 2008
Published: 25 October 2008
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| PACS: |
89.75.Hc
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(Networks and genealogical trees)
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