Mathematical Foundations and Applications of Graph Entropy

Dehmer, Matthias / Emmert-Streib, Frank / Chen, Zengqiang / Li, Xueliang / Shi, Yongtang (Editor)

Quantitative and Network Biology

1. Edition September 2016
XVI, 279 Pages, Hardcover
5 Pictures (3 Colored Figures)
5 tables
Handbook/Reference Book

ISBN: 978-3-527-33909-9

Wiley-VCH, Weinheim

Wiley Online Library Content Sample Chapter Index

Short Description

This latest volume in the successful Network Biology series presents current methods for determining the entropy of networks, covering the analysis of mathematical properties of methods as well as applications in areas ranging from applied mathematics to chemical graph theory.

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Further versions

This latest addition to the successful Network Biology series presents current methods for determining the entropy of networks, making it the first to cover the recently established Quantitative Graph Theory.
An excellent international team of editors and contributors provides an up-to-date outlook for the field, covering a broad range of graph entropy-related concepts and methods. The topics range from analyzing mathematical properties of methods right up to applying them in real-life areas.
Filling a gap in the contemporary literature this is an invaluable reference for a number of disciplines, including mathematicians, computer scientists, computational biologists, and structural chemists.

Introduction to Graph Entropy
Entropy of Horizontal Visibility Graphs
Measuring network's entropy in ADHD: A new approach to investigate neuropsychiatric disorders
Statistical methods in graphs: estimation, model selection, and test
Graph entropies and text texture measures
Graph Complexity: An Information Theoretical Approach
Prediction of Molecular Properties and Activities using Information-Theoretical Topological Indices
Generalized entropies of complex and random networks
Identifying node importance based on information entropy in complex networks
Time Latency in Networked Operations: Effect of Human in The Loop
Information flow and entropy production on Bayesian networks
Applications of graph entropy
Entropy, Counting, and Graphs

Matthias Dehmer studied mathematics at the University of Siegen (Germany) and received his Ph.D. in computer science from the Technical University of Darmstadt (Germany). Afterwards, he was a research fellow at Vienna Bio Center (Austria), Vienna University of Technology, and University of Coimbra (Portugal). He obtained his habilitation in applied discrete mathematics from the Vienna University of Technology. Currently, he is Professor at UMIT - The Health and Life Sciences University (Austria) and also holds a position at the Universität der Bundeswehr München. His research interests are in applied mathematics, bioinformatics, systems biology, graph theory, complexity and information theory. He has written over 180 publications in his research areas.

Frank Emmert-Streib studied physics at the University of Siegen (Germany) gaining his PhD in theoretical physics from the University of Bremen (Germany). He received postdoctoral training from the Stowers Institute for Medical Research (Kansas City, USA) and the University of Washington (Seattle, USA). Currently, he is associate professor for Computational Biology at Tampere University of Technology (Finland). His main research interests are in the field of computational medicine, network biology and statistical genomics.

M. Dehmer, UMIT Health and Life Sciences University, Hall, Austria; F. Emmert-Streib, Tampere University of Technology, Finland; Z. Chen, Nankai University, Tianjin, China; X. Li, Nankai University, Tianjin, China; Y. Shi, Nankai University, Tianjin, China