@inproceedings{45141d56bd754654961008250befb9fe,

title = "Robustness of spatial preferential attachment networks",

abstract = "We study robustness under random attack for a class of networks, in which new nodes are given a spatial position and connect to existing vertices with a probability favouring short spatial distances and high degrees. In this model of a scale-free network with clustering one can independently tune the power law exponent τ > 2 of the degree distribution and a parameter δ > 1 determining the decay rate of the probability of long edges. We argue that the network is robust if (Formula Presented.), but fails to be robust if (Formula Presented.). Hence robustness depends not only on the power-law exponent but also on the clustering features of the network.",

keywords = "Barabasi-Albert model, Clustering, Geometric random graph, Giant component, Power law, Preferential attachment, Resilience, Robustness, Scale-free network",

author = "Emmanuel Jacob and Peter Morters",

year = "2015",

month = dec,

day = "9",

doi = "10.1007/978-3-319-26784-5_1",

language = "English",

isbn = "9783319267838",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer",

pages = "3--14",

editor = "Gleich, {D. F.} and J. Komjathy and N. Litvak",

booktitle = "Algorithms and Models for the Web Graph",

note = "12th International Workshop on Algorithms and Models for the Web Graph, WAW 2015 ; Conference date: 10-12-2015 Through 11-12-2015",

}