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Hosoya entropy of fullerene graphs

Author

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  • Ghorbani, Modjtaba
  • Dehmer, Matthias
  • Rajabi-Parsa, Mina
  • Emmert-Streib, Frank
  • Mowshowitz, Abbe

Abstract

Entropy-based methods are useful tools for investigating various problems in mathematical chemistry, computational physics and pattern recognition. In this paper we introduce a general framework for applying Shannon entropy to fullerene graphs, and used it to investigate their properties. We show that important physical properties of these molecules can be determined by applying Hosoya entropy to their corresponding graphs.

Suggested Citation

  • Ghorbani, Modjtaba & Dehmer, Matthias & Rajabi-Parsa, Mina & Emmert-Streib, Frank & Mowshowitz, Abbe, 2019. "Hosoya entropy of fullerene graphs," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 88-98.
    • Handle: RePEc:eee:apmaco:v:352:y:2019:i:c:p:88-98
    DOI: 10.1016/j.amc.2019.01.024
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    References listed on IDEAS

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    1. Cao, Shujuan & Dehmer, Matthias, 2015. "Degree-based entropies of networks revisited," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 141-147.
    2. Cao, Shujuan & Dehmer, Matthias & Kang, Zhe, 2017. "Network Entropies Based on Independent Sets and Matchings," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 265-270.
    3. Dehmer, Matthias & Emmert-Streib, Frank & Shi, Yongtang, 2015. "Graph distance measures based on topological indices revisited," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 623-633.
    4. Matthias Dehmer & Abbe Mowshowitz & Frank Emmert-Streib, 2011. "Connections between Classical and Parametric Network Entropies," PLOS ONE, Public Library of Science, vol. 6(1), pages 1-8, January.
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    1. Modjtaba Ghorbani & Matthias Dehmer & Frank Emmert-Streib, 2020. "Properties of Entropy-Based Topological Measures of Fullerenes," Mathematics, MDPI, vol. 8(5), pages 1-23, May.
    2. Modjtaba Ghorbani & Razie Alidehi-Ravandi & Matthias Dehmer & Frank Emmert-Streib, 2023. "A Study of Roots of a Certain Class of Counting Polynomials," Mathematics, MDPI, vol. 11(13), pages 1-14, June.
    3. Maryam Jalali-Rad & Modjtaba Ghorbani & Matthias Dehmer & Frank Emmert-Streib, 2021. "Orbit Entropy and Symmetry Index Revisited," Mathematics, MDPI, vol. 9(10), pages 1-13, May.
    4. Ghorbani, Modjtaba & Hakimi-Nezhaad, Mardjan & Dehmer, Matthias, 2022. "Novel results on partial hosoya polynomials: An application in chemistry," Applied Mathematics and Computation, Elsevier, vol. 433(C).

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