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Open AccessArticle

The Hosoya Entropy of Graphs Revisited

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
Department of Electrical Engineering and Automation, Aalto University, 02150 Espoo, Finland
College of Engineering, Peking University, Beijing 100871, China
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
Authors to whom correspondence should be addressed.
Symmetry 2019, 11(8), 1013;
Received: 9 July 2019 / Revised: 30 July 2019 / Accepted: 2 August 2019 / Published: 6 August 2019
PDF [1293 KB, uploaded 9 August 2019]


In this paper we extend earlier results on Hosoya entropy (H-entropy) of graphs, and establish connections between H-entropy and automorphisms of graphs. In particular, we determine the H-entropy of graphs whose automorphism group has exactly two orbits, and characterize some classes of graphs with zero H-entropy. View Full-Text
Keywords: graph entropy; automorphism of graphs; graph products graph entropy; automorphism of graphs; graph products

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Ghorbani, M.; Dehmer, M.; Mowshowitz, A.; Tao, J.; Emmert-Streib, F. The Hosoya Entropy of Graphs Revisited. Symmetry 2019, 11, 1013.

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