2008Shuxue de shijian yu renshiRequires access

Structure Entropy in the Process of Scale-free Network Evolution

Qian Xing-san

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Abstract

Entropy is an important physical variable which describes the non-order of complex system,and many real networks all present the property of scale free.Based on the conception of node entropy and structure entropy,the paper gives the analytical conclusion and numerical simulation.From that,we can obtain that the value of structure entropy scales logarithmically with network size;but the structure entropy of scale-free network is smaller than that of random network under the same size of network.

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What this paper is about

Entropy is an important physical variable which describes the non-order of complex system,and many real networks all present the property of scale free.Based on the conception of node entropy and structure entropy,the paper gives the analytical conclusion and numerical simulation.From that,we can obtain that the value of structure entropy scales logarithmically with network size;but the structure entropy of scale-free network is smaller than that of random network under the same size of network.

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Available abstract

Entropy is an important physical variable which describes the non-order of complex system,and many real networks all present the property of scale free.Based on the conception of node entropy and structure entropy,the paper gives the analytical conclusion and numerical simulation.From that,we can obtain that the value of structure entropy scales logarithmically with network size;but the structure entropy of scale-free network is smaller than that of random network under the same size of network.

Key concepts: Statistical physics, Entropy (arrow of time), Network structure, Computer science, Entropy rate, Mathematics, Joint quantum entropy, Principle of maximum entropy

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