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Orbit Entropy and Symmetry Index Revisited

Author

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  • Maryam Jalali-Rad

    (Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran 16785-136, Iran)

  • Modjtaba Ghorbani

    (Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran 16785-136, Iran)

  • Matthias Dehmer

    (Department of Computer Science, Swiss Distance University of Applied Sciences, 3900 Brig, Switzerland
    Department of Biomedical Computer Science and Mechatronics, UMIT, 6060 Hall in Tyrol, Austria
    College of Artificial Intelligence, Nankai University, Tianjin 300350, China)

  • Frank Emmert-Streib

    (Predictive Society and Data Analytics Lab, Tampere University, Tampere, Korkeakoulunkatu 10, 33720 Tampere, Finland
    Institute of Biosciences and Medical Technology, Tampere University, Tampere, Korkeakoulunkatu 10, 33720 Tampere, Finland)

Abstract

The size of the orbits or similar vertices of a network provides important information regarding each individual component of the network. In this paper, we investigate the entropy or information content and the symmetry index for several classes of graphs and compare the values of this measure with that of the symmetry index of certain graphs.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:10:p:1086-:d:552771
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    References listed on IDEAS

    as
    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. 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.
    4. Ghorbani, Modjtaba & Dehmer, Matthias & Zangi, Samaneh, 2018. "Graph operations based on using distance-based graph entropies," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 547-555.
    5. Ma, Fei & Yao, Bing, 2018. "A family of small-world network models built by complete graph and iteration-function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2205-2219.
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