@article{EJP436,
author = {Tatyana Turova},
title = {Continuity of the percolation threshold in randomly grown graphs.},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {12},
year = {2007},
keywords = {Dynamic random graphs; phase transition; branching processes},
abstract = {We consider various models of randomly grown graphs. In these models the vertices and the edges accumulate within time according to certain rules. We study a phase transition in these models along a parameter which refers to the mean life-time of an edge. Although deleting old edges in the uniformly grown graph changes abruptly the properties of the model, we show that some of the macro-characteristics of the graph vary continuously. In particular, our results yield a lower bound for the size of the largest connected component of the uniformly grown graph.},
pages = {no. 36, 1036-1047},
issn = {1083-6489},
doi = {10.1214/EJP.v12-436},
url = {http://ejp.ejpecp.org/article/view/436}}