Handbook of graphs and networks : from the genome to the Internet

This book defines the field of complex interacting networks in tis 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 approaches, 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, focusing on approaches and applicable across disciplines. Read more... Mathematical results on scale-free random graphs / Béla Bollobás, Oliver M. Riordan -- Random graphs as models of networks / Mark E.J. Newman -- Emergence of scaling in complex networks / Albert-László Barabási -- Structural properties of scale-free networks / Reuven Cohen, Shlomo Havlin, Daniel ben-Avraham -- Epidemics and immunization in scale-free networks / Romualdo Pastor-Satorras, Alessandro Vespignani -- Cells and genes as networks in nematode development and evolution / Ralf J. Sommer -- Complex networks in genomics and proteomics / Ricard V. Solé, Romualdo Pastor-Satorras -- Correlation profiles and motifs in complex networks / Sergei Maslov, Kim Sneppen, Uri Alon -- Theory of interacting neural networks / Wolfgang Kinzel -- Modelling food webs / Barbara Drossel, Alan J. McKane -- Traffic networks / Kai Nagel -- Economic networks / Alan Kirman -- Local search in unstructured networks / Lada A. Adamic, Rajan M. Lukose, Bernardo A. Huberman -- Accelerated growth of networks / Sergei N. Dorogovtsev, Jose F.F. Mendes -- Social percolators and self organized criticality / Gérard Weisbuch, Sorin Solomon -- Graph theory and the evolution of autocatalytic networks / Sanjay Jain, Sandeep Krishna

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.

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 Approaches, 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.

Recently there has been much interest in studying large-scale real-world networks and attempting to model their properties using random graphs.