%0 Journal Article %1 Schwartz2002 %A Schwartz, N. %A Cohen, R. %A Ben-Avraham, D. %A Barabási, A. L. %A Havlin, S. %D 2002 %I American Physical Society %J Physical Review E %K directed-networks graphs networks percolation %N 1 %P 015104 %R 10.1103/PhysRevE.66.015104 %T Percolation in directed scale-free networks %V 66 %X Many complex networks in nature have directed links; a property that affects the network's navigability and large-scale topology. Here we study the percolation properties of such directed scale-free networks with correlated in and out degree distributions. We derive a phase diagram that indicates the existence of three regimes; determined by the values of the degree exponents. In the first regime we regain the known directed percolation mean field exponents. In contrast; the second and third regimes are characterized by anomalous exponents; which we calculate analytically. In the third regime the network is resilient to random dilution; i.e.; the percolation threshold is p c →1.

@article{Schwartz2002, abstract = {Many complex networks in nature have directed links; a property that affects the network's navigability and large-scale topology. Here we study the percolation properties of such directed scale-free networks with correlated in and out degree distributions. We derive a phase diagram that indicates the existence of three regimes; determined by the values of the degree exponents. In the first regime we regain the known directed percolation mean field exponents. In contrast; the second and third regimes are characterized by anomalous exponents; which we calculate analytically. In the third regime the network is resilient to random dilution; i.e.; the percolation threshold is p c →1.}, added-at = {2011-02-08T12:00:31.000+0100}, author = {Schwartz, N. and Cohen, R. and Ben-Avraham, D. and Barabási, A. L. and Havlin, S.}, biburl = {https://www.bibsonomy.org/bibtex/2eeeb81223dccd1024eca9921487ffdf0/rincedd}, doi = {10.1103/PhysRevE.66.015104}, interhash = {41020321d025037a45585c57ad8fcad9}, intrahash = {eeeb81223dccd1024eca9921487ffdf0}, journal = {Physical Review E}, keywords = {directed-networks graphs networks percolation}, number = 1, pages = 015104, publisher = {American Physical Society}, timestamp = {2011-02-08T12:00:31.000+0100}, title = {Percolation in directed scale-free networks}, volume = 66, year = 2002 }