Abstract
We study the robustness of Barabási-Albert scale-free networks with respect to intentional attacks to highly connected nodes. Using the simulated annealing optimization heuristic, we rewire the networks such that their robustness to network fragmentation is improved but without changing neither the degree distribution nor the connectivity of single nodes. We show that simulated annealing improves on the results previously obtained with a simple hill-climbing procedure. We also introduce a local move operator in order to facilitate actual rewiring and show numerically that the results are almost equally good.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Albert, R., Barabasi, A.L.: Statistical mechanics of complex networks. Reviews of Modern Physics 74, 47–97 (2002)
Albert, R., Jeong, H., Barabasi, A.L.: Error and attack tolerance of complex networks. Nature 406, 378–382 (2000)
Amaral, L.A.N., Scala, A., Barthélemy, M., Stanley, H.E.: Classes of small-world networks. Proc. Natl. Acad. Sci. USA 97, 11149–11152 (2000)
Bollobás, B.: Modern Graph Theory. Springer, Heidelberg (1998)
Cohen, R., Erez, K., Avraham, D.B., Havlin, S.: Breakdown of the Internet under intentional attack. Phys. Rev. Lett. 86, 3682–3685 (2001)
Csardi, G., Nepusz, T.: The igraph software package for complex network research. Inter Journal Complex Systems, 1695 (2006)
Holme, P., Kin, B.J., Yoon, C.N., Han, S.K.: Attack vulnerability of complex networks. Phys. Rev. E 65, 056109 (2002)
Kirkpatrick, S., Gelatt, C.D., Vecchi, P.: Optimization by simulated annealing. Science 220, 671–680 (1983)
Latora, V., Marchiori, M.: Efficient behavior of small-world networks. Phys. Rev. Lett. 87, 198701 (2001)
Newman, M.E.J.: Networks: An Introduction. Oxford University Press, Oxford (2010)
R Development Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria (2010)
Schneider, C.M., Andrade, J.S., Shinbrot, T., Herrmann, H.J.: Protein interaction networks are fragile against random attacks and robust against malicious attacks. Tech. rep. (2010)
Schneider, C.M., Moreira, A., Andrade, J.S., Havlin, S., Herrmann, H.J.: Onion-like network topology enhances robustness against malicious attacks. J. Stat. Mech. (2010) (to appear)
Schneider, J.J., Kirkpatrck, S.: Stochastic Optimization. Springer, Berlin (2006)
Valente, A.X.C.N., Sarkar, A., Stone, H.: 2-peak and 3-peak optimal complex networks. Phys. Rev. Lett. 92, 118702 (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Buesser, P., Daolio, F., Tomassini, M. (2011). Optimizing the Robustness of Scale-Free Networks with Simulated Annealing. In: Dobnikar, A., Lotrič, U., Šter, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2011. Lecture Notes in Computer Science, vol 6594. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20267-4_18
Download citation
DOI: https://doi.org/10.1007/978-3-642-20267-4_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-20266-7
Online ISBN: 978-3-642-20267-4
eBook Packages: Computer ScienceComputer Science (R0)