%0 Journal Article %1 barabasi01deterministic %A Barábasi, Albert-Laszlo %A Ravasz, Erzsebet %A Vicsek, Tamas %D 2001 %J Physica A %K web-graph %N 3-4 %P 559--564 %T Deterministic Scale-Free Networks %U http://arxiv.org/abs/cond-mat/0107419 %V 299 %X Scale-free networks are abundant in nature and society, describing such diverse systems as the world wide web, the web of human sexual contacts, or the chemical network of a cell. All models used to generate a scale-free topology are stochastic, that is they create networks in which the nodes appear to be randomly connected to each other. Here we propose a simple model that generates scale-free networks in a deterministic fashion. We solve exactly the model, showing that the tail of the degree distribution follows a power law.

@article{barabasi01deterministic, abstract = {Scale-free networks are abundant in nature and society, describing such diverse systems as the world wide web, the web of human sexual contacts, or the chemical network of a cell. All models used to generate a scale-free topology are stochastic, that is they create networks in which the nodes appear to be randomly connected to each other. Here we propose a simple model that generates scale-free networks in a deterministic fashion. We solve exactly the model, showing that the tail of the degree distribution follows a power law.}, added-at = {2009-08-06T15:16:38.000+0200}, archiveprefix = {arXiv}, author = {Bar{\'a}basi, Albert-Laszlo and Ravasz, Erzsebet and Vicsek, Tamas}, biburl = {https://www.bibsonomy.org/bibtex/24d33346a381c8f53638b30ba39ef4bf8/chato}, citeulike-article-id = {332903}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0107419}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0107419}, eprint = {cond-mat/0107419}, interhash = {75a65f752f3e2346e51ebd1180c5caed}, intrahash = {4d33346a381c8f53638b30ba39ef4bf8}, journal = {Physica A}, keywords = {web-graph}, month = Feb, number = {3-4}, pages = {559--564}, posted-at = {2005-09-27 11:09:59}, priority = {5}, timestamp = {2009-08-06T15:16:54.000+0200}, title = {Deterministic Scale-Free Networks}, url = {http://arxiv.org/abs/cond-mat/0107419}, volume = 299, year = 2001 }