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Novel results on partial hosoya polynomials: An application in chemistry

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  • Ghorbani, Modjtaba
  • Hakimi-Nezhaad, Mardjan
  • Dehmer, Matthias

Abstract

This article deal with an investigation of certain properties of partial Hosoya polynomial and then computing this new polynomial for some family of well-known graphs. Also, we verify some results concerning the zeros location of this polynomial in a ring shaped region. In this way, we include not only new results as special cases, but also improve the results due to Dehmer et al. [12] as a particular case. In continuing, the unique positive root of a new version of partial Hosoya polynomial has been evaluated. Finally, we explore some functional measures based on the complex zeros of partial Hosoya polynomials and then we compute the Pearson correlation between these measures and well-known topological indices. Our results show that these new measures have a linear correlation with the Wiener index.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:433:y:2022:i:c:s0096300322004532
    DOI: 10.1016/j.amc.2022.127379
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Dehmer, Matthias & Shi, Yongtang & Mowshowitz, Abbe, 2015. "Discrimination power of graph measures based on complex zeros of the partial Hosoya polynomial," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 352-355.
    4. Matthias Dehmer & Abbe Mowshowitz & Yongtang Shi, 2014. "Structural Differentiation of Graphs Using Hosoya-Based Indices," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-4, July.
    5. Falcón, Sergio & Plaza, Ángel, 2007. "The k-Fibonacci sequence and the Pascal 2-triangle," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 38-49.
    6. Matthias Dehmer & Aleksandar Ilić, 2012. "Location of Zeros of Wiener and Distance Polynomials," PLOS ONE, Public Library of Science, vol. 7(3), pages 1-12, March.
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