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Advances in network complexity / edited by Matthias Dehmer, Abbe Mowshowitz, and Frank Emmert-Streib.

Contributor(s): Dehmer, Matthias, 1968- [editor.] | Mowshowitz, Abbe [editor.] | Emmert-Streib, Frank [editor.].
Material type: materialTypeLabelBookSeries: Quantitative and network biology: v. 4.Publisher: Weinheim, Germany : Wiley-Blackwell, [2013]Description: 1 online resource (xiv, 293 pages .).Content type: text Media type: computer Carrier type: online resourceISBN: 9783527670475; 3527670475; 1299701469; 9781299701465; 9783527670499; 3527670491; 9783527670468; 3527670467; 352733291X; 9783527332915.Subject(s): Computational biology | Biomedical engineering -- Mathematical models | SCIENCE -- Life Sciences -- Biology | Biomedical engineering -- Mathematical models | Computational biologyGenre/Form: Electronic books. | Electronic books.Additional physical formats: Print version:: No titleDDC classification: 574.028 Online resources: Wiley Online Library
Contents:
1. Functional complexity based on topology -- 2. Connections between artificial intelligence and conputational complexity and the complexity of graphs -- 3. Selection-based estimates of complexity unravel some mechanisms and selective pressures underlying the evolution of complexity in artificial networks -- 4. Three types of network complexity pyramid -- 5. Computational complexity of graphs -- 6. The linear complexity of a graph -- 7. Kirchhoff's matrix-tree theorem revisited: counting spanning trees with the quantum relative entropy -- 8. Dimension measure for complex networks -- 9. Information-based complexity of networks -- 10. Thermodynamic depth in undirected and directed networks -- 11. Circumscribed complexity in ecological networks -- 12. Metros as biological systems complexity in small real-life networks.
Summary: A well-balanced overview of mathematical approaches to describe complex systems, ranging from chemical reactions to gene regulation networks, from ecological systems to examples from social sciences. Matthias Dehmer and Abbe Mowshowitz, a well-known pioneer in the field, co-edit this volume and are careful to include not only classical but also non-classical approaches so as to ensure topicality. Overall, a valuable addition to the literature and a must-have for anyone dealing with complex systems.
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Includes bibliographical references and index.

Online resource; title from PDF title page (Wiley, viewed July 24, 2013).

A well-balanced overview of mathematical approaches to describe complex systems, ranging from chemical reactions to gene regulation networks, from ecological systems to examples from social sciences. Matthias Dehmer and Abbe Mowshowitz, a well-known pioneer in the field, co-edit this volume and are careful to include not only classical but also non-classical approaches so as to ensure topicality. Overall, a valuable addition to the literature and a must-have for anyone dealing with complex systems.

1. Functional complexity based on topology -- 2. Connections between artificial intelligence and conputational complexity and the complexity of graphs -- 3. Selection-based estimates of complexity unravel some mechanisms and selective pressures underlying the evolution of complexity in artificial networks -- 4. Three types of network complexity pyramid -- 5. Computational complexity of graphs -- 6. The linear complexity of a graph -- 7. Kirchhoff's matrix-tree theorem revisited: counting spanning trees with the quantum relative entropy -- 8. Dimension measure for complex networks -- 9. Information-based complexity of networks -- 10. Thermodynamic depth in undirected and directed networks -- 11. Circumscribed complexity in ecological networks -- 12. Metros as biological systems complexity in small real-life networks.

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