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On Properties of Distance-Based Entropies on Fullerene Graphs

Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran 6785-136, Iran
Steyr School of Management, University of Applied Sciences Upper Austria, 4400 Steyr Campus, Austria
Department of Biomedical Computer Science and Mechatronics, UMIT, 6060 Hall in Tyrol, Austria
College of Artificial Intelligence, Nankai University, Tianjin 300350, China
Department of Computer Science, The City College of New York (CUNY), New York, NY 10031, USA
Predictive Medicine and Data Analytics Lab, Department of Signal Processing, Tampere University of Technology, 33720 Tampere, Finland
Institute of Biosciences and Medical Technology, 33520 Tampere, Finland
Author to whom correspondence should be addressed.
Entropy 2019, 21(5), 482;
Received: 7 April 2019 / Revised: 29 April 2019 / Accepted: 30 April 2019 / Published: 10 May 2019
PDF [840 KB, uploaded 13 May 2019]
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In this paper, we study several distance-based entropy measures on fullerene graphs. These include the topological information content of a graph I a ( G ) , a degree-based entropy measure, the eccentric-entropy I f σ ( G ) , the Hosoya entropy H ( G ) and, finally, the radial centric information entropy H e c c . We compare these measures on two infinite classes of fullerene graphs denoted by A 12 n + 4 and B 12 n + 6 . We have chosen these measures as they are easily computable and capture meaningful graph properties. To demonstrate the utility of these measures, we investigate the Pearson correlation between them on the fullerene graphs. View Full-Text
Keywords: graph entropy; eccentricity; Hosoya polynomial graph entropy; eccentricity; Hosoya polynomial

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Ghorbani, M.; Dehmer, M.; Rajabi-Parsa, M.; Mowshowitz, A.; Emmert-Streib, F. On Properties of Distance-Based Entropies on Fullerene Graphs. Entropy 2019, 21, 482.

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