グラフとネットワークのハンドブック Handbook of Graphs and Network : From the Genome to the Internet （2003. 401 p. w. figs., some col. 24,5 cm）

Ed. by Stefan Bornholdt and Heinz G. Schuster

WILEY-VCH（2003発売）

• 製本 Hardcover:ハードカバー版／ページ数 104 p.
• 商品コード 9783527403363

基本説明

Topics include complex economic or social interactions as well as networks in communication and traffic, biological subjects like molecular networks in the genome and the immune system, neural networks, and ecological webs.

Description

(Short description)
In diesem interdisziplinär geprägten Buch werden Modelle komplexer Netzwerkstrukturen und ihrer Dynamik auf Grundlage von Theorie und experimentellen Daten diskutiert. Komplexe Netzwerke sind an zahlreichen Phänomenen aus Physik und Biowissenschaften beteiligt, und finden sich in so diversen Bereichen wie der Wirtschaft, Soziologie oder Computerwissenschaften. Modelle solcher Netzwerke helfen beim Verständnis des Internets und des WWW, von Straßenverkehrssystemen und ökologischen Wechselbeziehungen, aber auch der Kommunikationsmechanismen der lebenden Zelle und der Ausbreitung von Epidemien.
Die Auswahl der Themen und die Beiträge erstklassiger Autoren machen dieses Handbuch zu einem herausragenden Referenzwerk für dieses aktuelle und sehr aktive Forschungsgebiet.
(Text)
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.
(Table of content)
Bela Bollobas and Oliver Riordan:
1. Mathematical Results on Scale-free Random Graphs
Mark Newman:
2. Random Graphs as Models of Networks
Albert-Lázló Barabási:
3. Emergence of Scaling in Complex Networks
R. Cohen, S. Havlin, and D. ben-Avraham:
4. Structural Properties of Scale-Free Networks
Romualdo Pastor-Satorras and Alessandro Vespignani:
5. Epidemics and Immunization in Scale-free Networks
Ralf J. Sommer:
6. Cells and Genes as Networks in Nematode Development and Evolution
Ricard V. Solé and Romualdo Pastor-Satorras:
7. Complex Networks in Genomics and Proteomics
Sergei Maslov, Kim Sneppen and Uri Alon:
8. Correlation Profiles and Motifs in Complex Networks
Wolfgang Kinzel:
9. Theory of Interacting Neural Networks
B. Drossel and A. J. McKane:
10. Modelling Food Webs
Kai Nagel:
11. Traffic Networks
Alan Kirman:
12. Economic Networks
Lada A. Adamic, Rajan M. Lukose and Bernardo A. Huberman:
13. Local Search in Unstructured Networks
S.N. Dorogovtsev and J.F.F. Mendes:
14. Accelerated Growth of Networks
Gérard Weisbuch and Sorin Solomon:
15. Social Percolators and Self
Organized Criticality
Sanjay Jain and Sandeep Krishna:
16. Graph Theory and the Evolution of Autocatalytic Networks