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Measurement of DNSE based on the Linear Growth and Preferential Attachment

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  • Zheng, Wen
  • Guan, Xin

Abstract

Barabasi and Albert (1999) have come up with the BA model based on growth and preferential attachment to depict the generative process of scale-free network. DNSE (Dynamic Network Structure Entropy) is the index to measure the state of network structure. Based on the mechanism of the LG (Linear Growth) and PA (Preferential Attachment), the measurement of DNSE is proposed. The variation of nodes and edges in the network has effects on the network structure. The paper chooses the nodes’ degree and the shortest path-length as the dynamic evolved indices to define the DNSE. The measurement provides the aspects to describe the state of the network structure.

Suggested Citation

  • Zheng, Wen & Guan, Xin, 2020. "Measurement of DNSE based on the Linear Growth and Preferential Attachment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    • Handle: RePEc:eee:phsmap:v:541:y:2020:i:c:s0378437119320576
    DOI: 10.1016/j.physa.2019.123692
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    References listed on IDEAS

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    1. Xiao, Yang-Hua & Wu, Wen-Tao & Wang, Hui & Xiong, Momiao & Wang, Wei, 2008. "Symmetry-based structure entropy of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2611-2619.
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