@inproceedings{bollobas2003directed, author = {Bollobas, Bela and Borgs, Christian and Chayes, Jennifer and Riordan, Oliver}, title = {Directed Scale-Free Graphs}, booktitle = {Proceedings of the 14th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)}, year = {2003}, month = {January}, abstract = {We introduce a model for directed scale-free graphs that grow with preferential attachment depending in a natural way on the in- and out-degrees. We show that the resulting in- and out-degree distributions are power laws with diff erent exponents, reproducing observed properties of the worldwide web. We also derive exponents for the distribution of in- (out-) degrees among vertices with fi xed out- (in-) degree. We conclude by suggesting a corresponding model with hidden variables.}, url = {http://approjects.co.za/?big=en-us/research/publication/directed-scale-free-graphs/}, pages = {132-139}, edition = {Proceedings of the 14th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)}, }