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Maximum Matchings In A Pseudofractal Scale-Free Web

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  • XIAOJIE WANG

    (School of Information Management, Xinjiang University of Finance and Economics, Ürümqi 830011, P. R. China†School of Information Science and Engineering, Xinjiang University, Ürümqi 830011, P. R. China)

  • WUSHOUR SLAMU

    (��School of Information Science and Engineering, Xinjiang University, Ürümqi 830011, P. R. China)

  • KAI YU

    (School of Information Management, Xinjiang University of Finance and Economics, Ürümqi 830011, P. R. China)

  • YIXIN ZHU

    (School of Information Management, Xinjiang University of Finance and Economics, Ürümqi 830011, P. R. China)

Abstract

The maximum matching problem is of great interest in many areas, for example, statistical physics and theoretical computer science. However, precise determining of maximum matchings in general graphs is a challenge and calculationally intractable. In this paper, we study analytically maximum matching problem in the pseudofractal scale-free web. We derive exact expressions for size and number of maximum matchings of the network based on self-similar structure and iterative construction of network, and obtain asymptotic incremental constant for the number of maximum matchings. The obtained results are helpful to understand the structural characteristics of scale-free networks with pseudofractality.

Suggested Citation

  • Xiaojie Wang & Wushour Slamu & Kai Yu & Yixin Zhu, 2022. "Maximum Matchings In A Pseudofractal Scale-Free Web," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(04), pages 1-8, June.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:04:n:s0218348x22500773
    DOI: 10.1142/S0218348X22500773
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