The network visualization was done using the Pajek program for large network analysis: http://vlado.fmf.uni-lj.si/pub/networks/pajek/pajekman.htm. People studying for PhDs or in postdoctoral (postdoc) positions. Oltvai and P. Contents 1 Education 2 Work 3 Awards 4 Selected publications 5 References 6 External links Education Albert obtained her B.S. my review here
We find that such networks display an unexpected degree of robustness, the ability of their nodes to communicate being unaffected even by unrealistically high failure rates. High resolution image and legend (61K) We start by investigating the robustness of the two basic connectivity distribution models, the Erdös-Rényi (ER) model9, 10 that produces a network with an exponential The ones marked * may be different from the article in the profile.DoneDuplicate citationsThe following articles are merged in Scholar. The most investigated examples of such exponential networks are the random graph model of Erdös and Rényi9, 10 and the small-world model of Watts and Strogatz11, both leading to a fairly http://www.bibsonomy.org/bibtex/21fa3ab0e1b97d68a1a18e741d5de17db/cdevries
Complex communication networks2 display a surprising degree of robustness: although key components regularly malfunction, local failures rarely lead to the loss of the global information-carrying ability of the network. We determined the f dependence of the diameter for different system sizes (N = 1,000; 5,000; 20,000) and found that the obtained curves, apart from a logarithmic size correction, overlap with Such decreased attack survivability is useful for drug design8, but it is less encouraging for communication systems, such as the Internet or the WWW.
At fec the system falls apart; the main cluster breaks into small pieces, leading to S 0, and the size of the fragments, s, peaks. Next, we investigate the error and attack tolerance of two networks of increasing economic and strategic importance: the Internet and the WWW.Faloutsos et al.6 investigated the topological properties of the Internet Christakis,Chaoming Song,Yang-Yu Liu,Marc Vidal,Shlomo Havlin,Dashun Wang,Janos Kertesz,Z. Red symbols show the response of the exponential (diamonds) and the scale-free (circles) networks to attacks, when the most connected nodes are removed.
changes to this setting will only be in effect after next page load gcalda's tags All tags in gcalda's library Filter: [Display as Cloud] [Display as List] By clicking "OK" you Emergence Of Scaling In Random Networks For example, relatively simple organisms grow, persist and reproduce despite drastic pharmaceutical or environmental interventions, an error tolerance attributed to the robustness of the underlying metabolic network1. The inset shows the error tolerance curves for the whole range of f, indicating that the main cluster falls apart only after it has been completely deflated. http://www.nature.com/nature/journal/v406/n6794/abs/406378A0.html The removal of these 'small' nodes does not alter the path structure of the remaining nodes, and thus has no impact on the overall network topology.
Mapping Scientific Frontiers: The Quest for Knowledge Visualization. Eugene Stanley,Cesar A. The size S is defined as the fraction of nodes contained in the largest cluster (that is, S = 1 for f = 0). The first class of networks is characterized by a P(k) that peaks at an average k and decays exponentially for large k.
However, error tolerance comes at a high price in that these networks are extremely vulnerable to attacks (that is, to the selection and removal of a few nodes that play a Her work extends to networks in a very general sense, involving for instance investigations on the error tolerance of the world-wide web and on the vulnerability of the North American power Network Robustness And Fragility: Percolation On Random Graphs pp.31 ff. Terror Attack The symbols are the same as in b.
Include unauthenticated results too (may include "spam") Enter a search phrase. this page Securing Utility and Energy Infrastructures. She is professor of physics and adjunct professor of biology at Pennsylvania State University and is noted for the Barabási–Albert model and research into scale-free networks and Boolean modeling of biological A. Google Scholar
Dawson, J. This robustness is probably the basis of the error tolerance of many complex systems, ranging from cells8 to distributed communication systems. The probability i that the new node is connected tonode i depends on the connectivity ki of node i such that i = k i/jk j. get redirected here We find that scale-free networks, describing a number of systems, such as the World Wide Web, Internet, social networks or a cell, display an unexpected degree of robustness, the ability of
To test this, we used the latest survey of the Internet topology, giving the network at the inter-domain (autonomous system) level. ISBN978-0-470-05453-6. Tags Errata: Error and attack tolerance of Complex Networks by: R.
Yahoo!Other OpenID-Providersign [email protected] and attack [email protected] this publication to your clipboardcommunity postview history of this postURLDOIBibTeXEndNoteMS Word Error and attack tolerance of complex networksR. Although it is generally thought that attacks on networks with distributed resource management are less successful, our results indicate otherwise. c, Error (squares) and attack (circles) survivability of the World-Wide Web, measured on a sample containing 325,729 nodes and 1,498,353 links3, such that k = 4.59.High resolution image and legend (56K) s in d in the case of attack is shown on a different scale, drawn in the right side of the frame.
Page updated 2016-09-02 Handle: RePEc:eee:phsmap:v:340:y:2004:i:1:p:388-394 WebImagesMore…Sign inExport articlesExport selected articlesExport all my articlesExportCancelMerged citationsThis "Cited by" count includes citations to the following articles in Scholar. to the selection and removal of a few nodes that play the most important role in assuring the network's connectivity. Program and Integrated MS-Ph.D. http://axishost.net/error-and/error-and-attack-tolerance-of-complex-networks-albert.php Click Help for advanced usage.
Tsallis More articles in Physica A: Statistical Mechanics and its Applications from ElsevierSeries data maintained by Shamier, Wendy (). Neda,Alexei Vazquez,Eric Bonabeau,B Kahng,Natali Gulbahce,Jean-Jacques Slotine,Kimmo KaskiTitle1–20Cited byYearEmergence of scaling in random networksAL Barabási, R AlbertScience 286 (5439), 509-512, 1999261511999Statistical mechanics of complex networksR Albert, AL BarabasiReviews of Modern Physics 74, However, this error tolerance comes at a high price: these networks are extremely vulnerable to attacks, i.e. At even higher f (c) the clusters are further fragmented into single nodes or clusters of size two.
For large t the connectivity distribution is a power-law following P(k) = 2 m2/k3.The interconnectedness of a network is described by its diameter d, defined as the average length of the Indeed, we find that the diameter of the Internet is unaffected by the random removal of as high as 2.5% of the nodes (an order of magnitude larger than the failure