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Complex Networks: Structure, Function , Evolution
Umeå University, Faculty of Science and Technology, Physics.
2005 (English)Doctoral thesis, monograph (Other academic)
Abstract [en]

A complex system is a system for which the statement "the whole is greater than the sum of its parts" holds. A network can be viewed as a backbone of a complex system. Combining the knowledge about the entities constituting the complex system with the properties of the interaction patterns we can get a better understanding of why the whole is greater than the sum. One of the purposes of network studies, is to relate the particular structural and dynamical properties of the network to the function it is designed to perform. In the present work I am briefly presenting some of the advances that have been achieved in the field of the complex networks together with the contributions which I have been involved in.

Place, publisher, year, edition, pages
Umeå: Fysik , 2005. , 76 p.
Keyword [en]
Complex systems, network topology, evolution, information spread
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:umu:diva-608ISBN: 91-7305-924-2 (print)OAI: oai:DiVA.org:umu-608DiVA: diva2:143968
Public defence
2005-09-16
Supervisors
Available from: 2005-10-12 Created: 2005-10-12Bibliographically approved
List of papers
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4. Hierarchy measures in complex networks
Open this publication in new window or tab >>Hierarchy measures in complex networks
2004 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 92, no 17, 178702- p.Article in journal (Refereed) Published
Abstract [en]

Using each node’s degree as a proxy for its importance, the topological hierarchy of a complex network is introduced and quantified. We propose a simple dynamical process used to construct networks which are either maximally or minimally hierarchical. Comparison with these extremal cases as well as with random scale-free networks allows us to better understand hierarchical versus modular features in several real-life complex networks. For random scale-free topologies the extent of topological hierarchy is shown to smoothly decline with y, the exponent of a degree distribution, reaching its highest possible value for y ≤,2 and quickly approaching zero for y > 3.

Place, publisher, year, edition, pages
The American Physical Society, 2004
Identifiers
urn:nbn:se:umu:diva-4739 (URN)10.1103/PhysRevLett.92.178702 (DOI)
Available from: 2005-10-12 Created: 2005-10-12 Last updated: 2017-12-14Bibliographically approved
5.
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CiteExportLink to record
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