Properties of Entropy-Based Topological Measures of Fullerenes

Modjtaba Ghorbani, Matthias Dehmer and Frank Emmert-Streib
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Modjtaba Ghorbani: Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Lavizan, Tehran 16785-163, Iran
Matthias Dehmer: Department of Computer Science, Swiss Distance University of Applied Sciences, 3900 Brig, Switzerland
Frank Emmert-Streib: Predictive Society and Data Analytics Lab, Tampere University, Tampere, Korkeakoulunkatu 10, 33720 Tampere, Finland

Mathematics, 2020, vol. 8, issue 5, 1-23

Abstract: A fullerene is a cubic three-connected graph whose faces are entirely composed of pentagons and hexagons. Entropy applied to graphs is one of the significant approaches to measuring the complexity of relational structures. Recently, the research on complex networks has received great attention, because many complex systems can be modelled as networks consisting of components as well as relations among these components. Information—theoretic measures have been used to analyze chemical structures possessing bond types and hetero-atoms. In the present article, we reviewed various entropy-based measures on fullerene graphs. In particular, we surveyed results on the topological information content of a graph, namely the orbit-entropy I a ( G ), the symmetry index, a degree-based entropy measure I λ ( G ), the eccentric-entropy If σ ( G ) and the Hosoya entropy H ( G ).

Keywords: fullerene; graph entropy; automorphism group; eigenvalue; eccentricity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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