Cover image for Handbook of graphs and networks : from the genome to the internet
Title:
Handbook of graphs and networks : from the genome to the internet
Publication Information:
Weinheim : Wiley-VCH, 2003
ISBN:
9783527403363

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30000004988808 QA402 H364 2003 Open Access Book Book
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Summary

Summary

Complex interacting networks are observed in systems from such diverse areas as physics, biology, economics, ecology, and computer science. For example, economic or social interactions often organize themselves in complex network structures. Similar phenomena are observed in traffic flow and in communication networks as the internet. In current problems of the Biosciences, prominent examples are protein networks in the living cell, as well as molecular networks in the genome. On larger scales one finds networks of cells as in neural networks, up to the scale of organisms in ecological food webs.

This book defines the field of complex interacting networks in its infancy and presents the dynamics of networks and their structure as a key concept across disciplines.

The contributions present common underlying principles of network dynamics and their theoretical description and are of interest to specialists as well as to the non-specialized reader looking for an introduction to this new exciting field.
Theoretical concepts include modeling networks as dynamical systems with numerical methods and new graph theoretical methods, but also focus on networks that change their topology as in morphogenesis and self-organization. The authors offer concepts to model network structures and dynamics, focussing on approaches applicable across disciplines.


Author Notes

Authors:
Lada A. Adamic, Uri Alon, Daniel ben-Avraham, Albert-Lásló Barabási, Béla Bollobás, Reuven Cohen, Sergei N. Dorogovtsev, Barbara Drossel, Shlomo Havlin, Bernardo A. Huberman, Sanjay Jain, Wolfgang Kinzel, Alan Kirman, Sandeep Krishna, Rajan M. Lukose, Sergei Maslov, Alan J. McKane, Jose F. F. Mendes, Kai Nagel, Mark Newman, Romualdo Pastor-Satorras, Oliver M. Riordan, Kim Sneppen, Ricard V. Solé Sorin Solomon, Ralf J. Sommer, Alessandro Vespignani, Gérard Weisbuch.

Stefan Bornholdt is Professor of Theoretical Physics and heads the Statistical Physics Group of the Interdisciplinary Center for Bioinformatics at the University of Leipzig, Germany. After studies at the University of Hamburg and UC Santa Barbara he received his doctorate in 1992. He held research positions at the Universities of Heidelberg and Kiel and in a biotech startup, and was visiting scientist at the Santa Fe Institute and the ITP Santa Barbara. His research focuses on interdisciplinary applications of theoretical and computational physics methods to complex systems in biology and other fields.

Heinz Georg Schuster is Professor of Theoretical Physics at the University of Kiel in Germany. In 1971 he attained his doctorate and in 1976 he was appointed Professor at the University of Frankfurt am Main in Germany. He was a visiting professor at the Weizmann-Institute of Science in Israel and at the California Institute of Technology in Pasadena, USA. He is author of several books, among others "Deterministic Chaos", which has been translated into five languages.


Table of Contents

Preface
List of Contributors
1 Mathematical Results on Scale-free Random GraphsBela Bollobas and Oliver Riordan
2 Random Graphs as Models of NetworksMark Newman
3 Emergence of Scaling in Complex NetworksAlbert-Laszlo Barabasi
4 Structural Properties of Scale-Free NetworksR. Cohen and S. Havlin and D. ben-Avraham
5 Epidemics and Immunization in Scale-free NetworksRomualdo Pastor-Satorras and Alessandro Vespignani
6 Cells and Genes as Networks in Nematode Development and EvolutionRalf J. Sommer
7 Complex Networks in Genomics and ProteomicsRicard V. Sole and Romualdo Pastor-Satorras
8 Correlation Profiles and Motifs in Complex NetworksSergei Maslov and Kim Sneppen and Uri Alon
9 Theory of Interacting Neural NetworksWolfgang Kinzel
10 Modelling Food WebsB. Drossel and A. J. McKane
11 Traffic NetworksKai Nagel
12 Economic NetworksAlan Kirman
13 Local Search in Unstructured NetworksLada A. Adamic and Rajan M. Lukose and Bernardo A. Huberman
14 Accelerated Growth of NetworksS.N. Dorogovtsev and J.F.F. Mendes
15 Social Percolators and Self Organized CriticalityGerard Weisbuch and Sorin Solomon
16 Graph Theory and the Evolution of Autocatalytic NetworksSanjay Jain and Sandeep Krishna
Index