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Article

The Hosoya Entropy of a Graph

1
Department of Computer Science, The City College of New York (CUNY), 138th Street at Convent Avenue, New York, NY 10031, USA
2
Department of Biomedical Computer Science and Mechatronics, UMIT, Eduard Wallnoefer Zentrum 1, A-6060, Hall in Tyrol, Austria
3
Department of Computer Science, Universität der Bundeswehr München, Werner Heisenberg Weg 39, D-85579 Neubiberg, Germany
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Author to whom correspondence should be addressed.
Academic Editor: J. A. Tenreiro Machado
Entropy 2015, 17(3), 1054-1062; https://doi.org/10.3390/e17031054
Received: 10 February 2015 / Revised: 2 March 2015 / Accepted: 2 March 2015 / Published: 5 March 2015
(This article belongs to the Section Complexity)
This paper demonstrates properties of Hosoya entropy, a quantitative measure of graph complexity based on a decomposition of the vertices linked to partial Hosoya polynomials. Connections between the information content of a graph and Hosoya entropy are established, and the special case of Hosoya entropy of trees is investigated. View Full-Text
Keywords: Hosoya entropy; Hosoya polynomial; partial Hosoya polynomial; automorphism group; orbit; tree Hosoya entropy; Hosoya polynomial; partial Hosoya polynomial; automorphism group; orbit; tree
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MDPI and ACS Style

Mowshowitz, A.; Dehmer, M. The Hosoya Entropy of a Graph. Entropy 2015, 17, 1054-1062. https://doi.org/10.3390/e17031054

AMA Style

Mowshowitz A, Dehmer M. The Hosoya Entropy of a Graph. Entropy. 2015; 17(3):1054-1062. https://doi.org/10.3390/e17031054

Chicago/Turabian Style

Mowshowitz, Abbe, and Matthias Dehmer. 2015. "The Hosoya Entropy of a Graph" Entropy 17, no. 3: 1054-1062. https://doi.org/10.3390/e17031054

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