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Valency-Based Topological Descriptors and Structural Property of the Generalized Sierpiński Networks

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Abstract

A molecular network can be characterized by several different ways, like a matrix, a polynomial, a drawing or a topological descriptor. A topological descriptor is a numeric quantity associated with a network or a graph that characterizes its whole structural properties. Analyzing and determining the topological indices and structural properties of a network or a graph have been a worthy studied topic in the field of chemistry, networks analysis, etc. In this paper, we consider several types of the generalized Sierpiński networks and investigate the explicit expressions of some well-known valency-based topological indices. Taking into account the other structural property of the generalized Sierpiński networks, the average degree is determined.

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Acknowledgements

The authors would like to express their sincere gratitude to the referees and the editor for many friendly and helpful suggestions, which led to great deal of improvement of the original manuscript. The work was partially supported by National Science Foundation of China under grant No. 11601006, China Postdoctoral Science Foundation under grant No. 2017M621579 and Postdoctoral Science Foundation of Jiangsu Province under grant No. 1701081B.

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Authors and Affiliations

  1. School of Mathematics and Physics, Anhui Jianzhu University, Hefei, People’s Republic of China

    Jia-Bao Liu & Jing Zhao

  2. School of Environment and Energy Engineering, Anhui Jianzhu University, Hefei, People’s Republic of China

    Hailang He

  3. Institute of Computing Science and Technology, Guangzhou University, Guangzhou, People’s Republic of China

    Zehui Shao

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  1. Jia-Bao Liu
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  2. Jing Zhao
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  3. Hailang He
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  4. Zehui Shao
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Correspondence to Zehui Shao.

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Communicated by Eric A. Carlen.

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Liu, JB., Zhao, J., He, H. et al. Valency-Based Topological Descriptors and Structural Property of the Generalized Sierpiński Networks. J Stat Phys 177, 1131–1147 (2019). https://doi.org/10.1007/s10955-019-02412-2

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  • DOI: https://doi.org/10.1007/s10955-019-02412-2

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