Towards an Information Theory of Complex Networks

Preface.- Entropy of Digraphs and Infinite Networks.- An Information-Theoretic Upper Bound on Planar Graphs Using Well-orderly Maps.- Probabilistic Inference Using Function Factorization and Divergence Minimization.- Wave Localization on Complex Networks.- Information-Theoretic Methods in Chemical Graph Theory.- On the Development and Application of Net-Sign Graph Theory.- The Central Role of Information Theory in Ecology.- Inferences About Coupling from Ecological Surveillance Monitoring.- Markov Entropy Centrality.- Social Ontologies as Generalizedd Nearly Acyclic Directed Graphs.- Typology by Means of Language Networks.- Information Theory-Based Measurement of Software.- Fair and Biased Random Walks on Undirected Graphs and Related Entropies.

Matthias Dehmer studied mathematics at the University of Siegen (Germany) and received his PhD 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). Currently, he is Professor at UMIT - The Health and Life Sciences University (Austria). His research interests are in bioinformatics, cancer analysis, chemical graph theory, systems biology, complex networks, complexity, statistics and information theory. In particular, he is also working on machine learning-based methods to design new data analysis methods for solving problems in computational biology and medicinal chemistry.Frank Emmert-Streib studied physics at the University of Siegen (Germany) and received his Ph.D. in Theoretical Physics from the University of Bremen (Germany). He was a postdoctoral research associate at the Stowers Institute for Medical Research (Kansas City, USA) in the Department for Bioinformatics and a Senior Fellow at the University of Washington (Seattle, USA) in the Department of Biostatistics and the Department of Genome Sciences. Currently, he is Lecturer/Assistant Professor at the Queen's University Belfast at the Center for Cancer Research and Cell Biology (CCRCB) leading the Computational Biology and Machine Learning Lab. His research interests are in the field of computational biology, machine learning and biostatistics in the development and application of methods from statistics and machine learning for the analysis of high-throughput data from genomics and genetics experiments.