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A Study of Roots of a Certain Class of Counting Polynomials

Author

Listed:
  • Modjtaba Ghorbani

    (Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran 16785-163, Iran)

  • Razie Alidehi-Ravandi

    (Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran 16785-163, Iran)

  • Matthias Dehmer

    (Department of Computer Science, Swiss Distance University of Applied Sciences, 3900 Brig, Switzerland
    Department of Biomedical Computer Science and Mechatronics, UMIT, A-6060 Hall in Tyrol, Austria
    College of Artficial Intelligence, Nankai University, Tianjin 300071, China)

  • Frank Emmert-Streib

    (Predictive Society and Data Analytic Lab, Faculty of Information Technology and Communication Sciences, Tampere University, 33100 Tampere, Finland)

Abstract

In this article, we introduce a new counting polynomial, namely the orbit polynomial. It is well-known that this polynomial has a unique positive zero δ in the interval [0, 1]. The aim of this paper is to study the specific properties of this polynomial and then determine the location of this root for several classes of complex networks to compare with other graphical measures. Additionally, we compare the unique positive zero measure with several well-known centrality graph measures.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2876-:d:1180359
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    References listed on IDEAS

    as
    1. 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.
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