%0 Journal Article %1 Farrow2007Dynamics %A Farrow, C. L. %A Shukla, P. %A Duxbury, P. M. %D 2007 %J Journal of Physics A: Mathematical and Theoretical %K percolation critical-phenomena lattice-models k-core %N 27 %P F581+ %R 10.1088/1751-8113/40/27/f02 %T Dynamics of k-core percolation %U http://dx.doi.org/10.1088/1751-8113/40/27/f02 %V 40 %X In many network applications nodes are stable provided they have at least k neighbours, and a network of k -stable nodes is called a k -core. The vulnerability to random attack is characterized by the size of culling avalanches which occur after a randomly chosen k -core node is removed. Simulations of lattices in two, three and four dimensions, as well as small-world networks, indicate that power-law avalanches occur in first-order k -core systems, while truncated avalanches are characteristic of second-order cases.

@article{Farrow2007Dynamics, abstract = {{In many network applications nodes are stable provided they have at least k neighbours, and a network of k -stable nodes is called a k -core. The vulnerability to random attack is characterized by the size of culling avalanches which occur after a randomly chosen k -core node is removed. Simulations of lattices in two, three and four dimensions, as well as small-world networks, indicate that power-law avalanches occur in first-order k -core systems, while truncated avalanches are characteristic of second-order cases.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Farrow, C. L. and Shukla, P. and Duxbury, P. M.}, biburl = {https://www.bibsonomy.org/bibtex/23f6a2e6f68cbf46b594c5879440c10f2/nonancourt}, citeulike-article-id = {12535260}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/1751-8113/40/27/f02}, citeulike-linkout-1 = {http://iopscience.iop.org/1751-8113/40/27/F02}, day = 06, doi = {10.1088/1751-8113/40/27/f02}, interhash = {b156efc148e98155b980728f0db3b886}, intrahash = {3f6a2e6f68cbf46b594c5879440c10f2}, issn = {1751-8113}, journal = {Journal of Physics A: Mathematical and Theoretical}, keywords = {percolation critical-phenomena lattice-models k-core}, month = jul, number = 27, pages = {F581+}, posted-at = {2013-07-30 11:28:46}, priority = {2}, timestamp = {2019-08-01T16:09:09.000+0200}, title = {{Dynamics of k-core percolation}}, url = {http://dx.doi.org/10.1088/1751-8113/40/27/f02}, volume = 40, year = 2007 }