Entropy and the Complexity of Graphs Revisited

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...

Full description

Bibliographic Details
Main Authors: Matthias Dehmer, Abbe Mowshowitz
Format: Article
Language:English
Published: MDPI AG 2012-03-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/14/3/559/
Description
Summary: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.
ISSN:1099-4300