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Entropy 2012, 14(3), 559-570; doi:10.3390/e14030559

Entropy and the Complexity of Graphs Revisited

1,*  and 2,*
Received: 16 January 2012 / Revised: 5 March 2012 / Accepted: 12 March 2012 / Published: 14 March 2012
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Abstract: This paper presents a taxonomy and overview of approaches to the measurement of graph and network complexity. The taxonomy distinguishes between deterministic (e.g., Kolmogorov complexity) and probabilistic approaches with a view to placing entropy-based probabilistic measurement in context. Entropy-based measurement is the main focus of the paper. Relationships between the different entropy functions used to measure complexity are examined; and intrinsic (e.g., classical measures) and extrinsic (e.g., Körner entropy) variants of entropy-based models are discussed in some detail.
Keywords: complex networks; Shannon entropy; graph entropy complex networks; Shannon entropy; graph entropy
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Mowshowitz, A.; Dehmer, M. Entropy and the Complexity of Graphs Revisited. Entropy 2012, 14, 559-570.

AMA Style

Mowshowitz A, Dehmer M. Entropy and the Complexity of Graphs Revisited. Entropy. 2012; 14(3):559-570.

Chicago/Turabian Style

Mowshowitz, Abbe; Dehmer, Matthias. 2012. "Entropy and the Complexity of Graphs Revisited." Entropy 14, no. 3: 559-570.

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