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Form and function of complex networks
Umeå University, Faculty of Science and Technology, Department of Physics.ORCID iD: 0000-0003-2156-1096
2004 (English)Doctoral thesis, comprehensive summary (Other academic)Alternative title
Form och funktion i komplexa nätverk (Swedish)
Abstract [en]

Networks are all around us, all the time. From the biochemistry of our cells to the web of friendships across the planet. From the circuitry of modern electronics to chains of historical events. A network is the result of the forces that shaped it. Thus the principles of network formation can be, to some extent, deciphered from the network itself. All such information comprises the structure of the network. The study of network structure is the core of modern network science. This thesis centres around three aspects of network structure: What kinds of network structures are there and how can they be measured? How can we build models for network formation that give the structure of networks in the real world? How does the network structure affect dynamical systems confined to the networks? These questions are discussed using a variety of statistical, analytical and modelling techniques developed by physicists, mathematicians, biologists, chemists, psychologists, sociologists and anthropologists. My own research touches all three questions. In this thesis I present works trying to answer: What is the best way to protect a network against sinister attacks? How do groups form in friendship networks? Where do traffic jams appear in a communication network? How is cellular metabolism organised? How do Swedes flirt on the Internet? . . . and many other questions.

Place, publisher, year, edition, pages
Umeå: Umeå universitet , 2004. , 104 p.
Keyword [en]
Theoretical physics, complex networks, complexity, small-world networks, scale-free networks, graph theory
Keyword [sv]
Teoretisk fysik
National Category
Physical Sciences
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:umu:diva-222ISBN: 91-7305-629-4 (print)OAI: oai:DiVA.org:umu-222DiVA: diva2:142716
Public defence
2004-05-07, N430, Naturvetarhuset, Umeå Universitet, Umeå, 14:00
Opponent
Supervisors
Available from: 2004-03-26 Created: 2004-03-26 Last updated: 2013-09-06Bibliographically approved
List of papers
1. Subnetwork hierarchies of biochemical pathways
Open this publication in new window or tab >>Subnetwork hierarchies of biochemical pathways
2003 (English)In: Bioinformatics, ISSN 1367-4803, E-ISSN 1460-2059, Vol. 19, no 4, 532-538 p.Article in journal (Refereed) Published
Abstract [en]

Motivation: The vastness and complexity of the biochemical networks that have been mapped out by modern genomics calls for decomposition into subnetworks. Such networks can have inherent non-local features that require the global structure to be taken into account in the decomposition procedure. Furthermore, basic questions such as to what extent the network (graph theoretically) can be said to be built by distinct subnetworks are little studied.

Results: We present a method to decompose biochemical networks into subnetworks based on the global geometry of the network. This method enables us to analyze the full hierarchical organization of biochemical networks and is applied to 43 organisms from the WIT database. Two types of biochemical networks are considered: metabolic networks and whole-cellular networks (also including for example information processes). Conceptual and quantitative ways of describing the hierarchical ordering are discussed. The general picture of the metabolic networks arising from our study is that of a few core-clusters centred around the most highly connected substances enclosed by other substances in outer shells, and a few other well-defined subnetworks.

Identifiers
urn:nbn:se:umu:diva-3821 (URN)10.1093/bioinformatics/btg033 (DOI)
Available from: 2004-03-26 Created: 2004-03-26 Last updated: 2013-09-06Bibliographically approved
2. Network Bipartivity
Open this publication in new window or tab >>Network Bipartivity
2003 In: Physical Review E, ISSN 1063-651X, Vol. 68, no 5, 056107- p.Article in journal (Refereed) Published
Identifiers
urn:nbn:se:umu:diva-3822 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved
3. Structure and time-evolution of an Internet dating community
Open this publication in new window or tab >>Structure and time-evolution of an Internet dating community
In: Social Networks, ISSN 0378-8733Article in journal (Refereed) Accepted
Identifiers
urn:nbn:se:umu:diva-3823 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved
4. Network dynamics of ongoing social relationships
Open this publication in new window or tab >>Network dynamics of ongoing social relationships
2003 In: Europhysics Letters, ISSN 0295-5075, Vol. 64, no 3, 427-433 p.Article in journal (Refereed) Published
Identifiers
urn:nbn:se:umu:diva-3824 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved
5. Growing scale-free networks with tunable clustering
Open this publication in new window or tab >>Growing scale-free networks with tunable clustering
2002 In: Physical Review E, ISSN 1063-651X, Vol. 65, no 2, 026107- p.Article in journal (Refereed) Published
Identifiers
urn:nbn:se:umu:diva-3825 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved
6. Networking the seceder model: group formation in social and economic systems
Open this publication in new window or tab >>Networking the seceder model: group formation in social and economic systems
2004 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 70, no 3, 036108- p.Article in journal (Refereed) Published
Abstract [en]

The seceder model illustrates how the desire to be different from the average can lead to formation of groups in a population. We turn the original, agent based, seceder model into a model of network evolution. We find that the structural characteristics of our model closely match empirical social networks. Statistics for the dynamics of group formation are also given. Extensions of the model to networks of companies are also discussed.

National Category
Physical Sciences
Identifiers
urn:nbn:se:umu:diva-5186 (URN)10.1103/PhysRevE.70.036108 (DOI)
Available from: 2006-05-12 Created: 2006-05-12 Last updated: 2015-05-06Bibliographically approved
7. Attack vulnerability of complex networks
Open this publication in new window or tab >>Attack vulnerability of complex networks
2002 In: Physical Review E, ISSN 1063-651X, Vol. 65, no 5, 056109- p.Article in journal (Refereed) Published
Identifiers
urn:nbn:se:umu:diva-3827 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved
8. Efficient local strategies for vaccination and network attack
Open this publication in new window or tab >>Efficient local strategies for vaccination and network attack
Article in journal (Refereed) Submitted
Identifiers
urn:nbn:se:umu:diva-3828 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved
9. Vertex overload breakdown in evolving networks
Open this publication in new window or tab >>Vertex overload breakdown in evolving networks
2002 In: Physical Review E, ISSN 1063-651X, Vol. 65, no 6, 066109- p.Article in journal (Refereed) Published
Identifiers
urn:nbn:se:umu:diva-3829 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved
10. Edge overload breakdown in evolving networks
Open this publication in new window or tab >>Edge overload breakdown in evolving networks
2002 In: Physical Review E, ISSN 1063-651X, Vol. 66, no 3, 036119- p.Article in journal (Refereed) Published
Identifiers
urn:nbn:se:umu:diva-3830 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved
11. XY model in small-world networks
Open this publication in new window or tab >>XY model in small-world networks
Show others...
2001 In: Physical Review E, ISSN 1063-651X, Vol. 64, no 5, 056135- p.Article in journal (Refereed) Published
Identifiers
urn:nbn:se:umu:diva-3831 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved
12. Dynamic critical behavior of the XY model in small-world networks
Open this publication in new window or tab >>Dynamic critical behavior of the XY model in small-world networks
2003 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 67, no 3, 036118- p.Article in journal (Refereed) Published
Abstract [en]

The critical behavior of the XY model on small-world network is investigated by means of dynamic Monte Carlo simulations. We use the short-time relaxation scheme, i.e., the critical behavior is studied from the nonequilibrium relaxation to equilibrium. Static and dynamic critical exponents are extracted through the use of the dynamic finite-size scaling analysis. It is concluded that the dynamic universality class at the transition is of the mean-field nature. We also confirm numerically that the value of dynamic critical exponent is independent of the rewiring probability P for P≳0.03.

Place, publisher, year, edition, pages
American Physical Society, 2003
National Category
Physical Sciences
Identifiers
urn:nbn:se:umu:diva-2145 (URN)10.1103/PhysRevE.67.036118 (DOI)
Available from: 2003-09-15 Created: 2003-09-15 Last updated: 2012-06-12Bibliographically approved
13. Congestion and centrality in traffic flow on complex networks
Open this publication in new window or tab >>Congestion and centrality in traffic flow on complex networks
2003 In: Advances in Complex Systems, ISSN 0219-5259, Vol. 6, no 2, 163-176 p.Article in journal (Refereed) Published
Identifiers
urn:nbn:se:umu:diva-3833 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved
14. Dynamic instabilities induced by asymmetric influence: Prisoners' dilemma game in small-world networks
Open this publication in new window or tab >>Dynamic instabilities induced by asymmetric influence: Prisoners' dilemma game in small-world networks
Show others...
2002 In: Physical Review E, ISSN 1063-651X, Vol. 66, no 2, 021907- p.Article in journal (Refereed) Published
Identifiers
urn:nbn:se:umu:diva-3834 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved
15. Prisoners' dilemma in real-world acquaintance networks: Spikes and quasiequilibria induced by the interplay between structure and dynamics
Open this publication in new window or tab >>Prisoners' dilemma in real-world acquaintance networks: Spikes and quasiequilibria induced by the interplay between structure and dynamics
2003 In: Physical Review E, ISSN 1063-651X, Vol. 68, no 3, 030901- p.Article in journal (Refereed) Published
Identifiers
urn:nbn:se:umu:diva-3835 (URN)
Available from: 2004-03-26 Created: 2004-03-26Bibliographically approved

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