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Expansion of the Kullback-Leibler Divergence, and a New Class of Information Metrics

Toward Measuring Network Aesthetics Based on Symmetry

College of Computer and Control Engineering, Nankai University, Tianjin 300350, China
Department of Mechatronics and Biomedical Computer Science, University for Health Sciences,Medical Informatics and Technology (UMIT), 6060 Hall, Tyrol, Austria
Predictive Medicine and Analytics Lab, Department of Signal Processing, Tampere University of Technology,33720 Tampere, Finland
Department of Computer Science, The City College of New York (CUNY), 138th Street at Convent Avenue,New York, NY 10031, USA
Center for Combinatorics and LPMC, Nankai University, Tianjin 300071, China
Authors to whom correspondence should be addressed.
Academic Editor: Javier Fernandez
Axioms 2017, 6(2), 12;
Received: 20 March 2017 / Revised: 3 May 2017 / Accepted: 3 May 2017 / Published: 6 May 2017
(This article belongs to the Special Issue Entropy and Information Theory)
In this exploratory paper, we discuss quantitative graph-theoretical measures of network aesthetics. Related work in this area has typically focused on geometrical features (e.g., line crossings or edge bendiness) of drawings or visual representations of graphs which purportedly affect an observer’s perception. Here we take a very different approach, abandoning reliance on geometrical properties, and apply information-theoretic measures to abstract graphs and networks directly (rather than to their visual representaions) as a means of capturing classical appreciation of structural symmetry. Examples are used solely to motivate the approach to measurement, and to elucidate our symmetry-based mathematical theory of network aesthetics. View Full-Text
Keywords: aesthetics; networks; entropy; aesthetical theory; network aesthetics aesthetics; networks; entropy; aesthetical theory; network aesthetics
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MDPI and ACS Style

Chen, Z.; Dehmer, M.; Emmert-Streib, F.; Mowshowitz, A.; Shi, Y. Toward Measuring Network Aesthetics Based on Symmetry. Axioms 2017, 6, 12.

AMA Style

Chen Z, Dehmer M, Emmert-Streib F, Mowshowitz A, Shi Y. Toward Measuring Network Aesthetics Based on Symmetry. Axioms. 2017; 6(2):12.

Chicago/Turabian Style

Chen, Zengqiang, Matthias Dehmer, Frank Emmert-Streib, Abbe Mowshowitz, and Yongtang Shi. 2017. "Toward Measuring Network Aesthetics Based on Symmetry" Axioms 6, no. 2: 12.

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