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Open AccessArticle

The Hosoya Entropy of Graphs Revisited

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Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran 6785-136, Iran
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Steyr School of Management, University of Applied Sciences Upper Austria, 4400 Steyr Campus, Austria
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Department of Biomedical Computer Science and Mechatronics, UMIT, 6060 Hall in Tyrol, Austria
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College of Artificial Intelligence, Nankai University, Tianjin 300350, China
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Department of Computer Science, The City College of New York (CUNY), New York, NY 10031, USA
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Department of Electrical Engineering and Automation, Aalto University, 02150 Espoo, Finland
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College of Engineering, Peking University, Beijing 100871, China
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Predictive Medicine and Data Analytics Lab, Department of Signal Processing, Tampere University of Technology, 33720 Tampere, Finland
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Institute of Biosciences and Medical Technology, 33520 Tampere, Finland
*
Authors to whom correspondence should be addressed.
Symmetry 2019, 11(8), 1013; https://doi.org/10.3390/sym11081013
Received: 9 July 2019 / Revised: 30 July 2019 / Accepted: 2 August 2019 / Published: 6 August 2019
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Abstract

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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