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Structural Differentiation of Graphs Using Hosoya-Based Indices

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  • Matthias Dehmer
  • Abbe Mowshowitz
  • Yongtang Shi

Abstract

In this paper, we introduce the Hosoya-Spectral indices and the Hosoya information content of a graph. The first measure combines structural information captured by partial Hosoya polynomials and graph spectra. The latter is a graph entropy measure which is based on blocks consisting of vertices with the same partial Hosoya polynomial. We evaluate the discrimination power of these quantities by interpreting numerical results.

Suggested Citation

  • 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.
    • Handle: RePEc:plo:pone00:0102459
    DOI: 10.1371/journal.pone.0102459
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    Cited by:

    1. 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.
    2. Ghorbani, Modjtaba & Alidehi-Ravandi, Razie & Amraei, Najaf & Raza, Zahid, 2024. "On the largest eigenvalue of extended eccentric matrix," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    3. Matthias Dehmer & Yury Robertovich Tsoy, 2014. "Numerical Evaluation and Comparison of Kalantari's Zero Bounds for Complex Polynomials," PLOS ONE, Public Library of Science, vol. 9(10), pages 1-10, October.
    4. Lang, Rongling & Li, Tao & Mo, Desen & Shi, Yongtang, 2016. "A novel method for analyzing inverse problem of topological indices of graphs using competitive agglomeration," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 115-121.
    5. Chen, Lin & Liu, Jinfeng, 2016. "Extremal values of matching energies of one class of graphs," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 976-992.
    6. 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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