Dynamics of k-core percolation
| dc.creator | Farrow, C. L. | |
| dc.creator | Shukla, P. | |
| dc.creator | Duxbury, P. M. | |
| dc.date | 2008-01-23 | |
| dc.date.accessioned | 2026-07-07T08:56:07Z | |
| dc.date.available | 2026-07-07T08:56:07Z | |
| dc.description | In many network applications nodes are stable provided they have at least k neighbors, 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. | |
| dc.description | 4 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0801.3644 | |
| dc.identifier | http://arxiv.org/abs/0801.3644 | |
| dc.identifier | C L Farrow et al 2007 J. Phys. A: Math. Theor. 40 F581-F587 | |
| dc.identifier | doi:10.1088/1751-8113/40/27/F02 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146495 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Dynamics of k-core percolation | |
| dc.type | text |