Number of Loops of Size $h$ in Growing Scale-Free Networks TeX Export

@article{citeulike:5056630, abstract = {The hierarchical structure of scale-free networks has been investigated focusing on the scaling of the number N h ( t ) of loops of size h as a function of the system size. In particular; we have found the analytic expression for the scaling of N h ( t ) in the Barab\'{a}si-Albert (BA) scale-free network. We have performed numerical simulations on the scaling law for N h ( t ) in the BA network and in other growing scale-free networks; such as the bosonic network and the aging nodes network. We show that in the bosonic network and in the aging node network the phase transitions in the topology of the network are accompained by a change in the scaling of the number of loops with the system size.}, author = {Bianconi, Ginestra and Capocci, Andrea}, citeulike-article-id = {5056630}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevLett.90.078701}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v90/i7/e078701}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v90/i7/e078701}, doi = {10.1103/PhysRevLett.90.078701}, journal = {Physical Review Letters}, keywords = {growing, loops, network, networks, number, of, scale-free, size, structure}, month = {Feb}, number = {7}, pages = {078701+}, posted-at = {2009-07-04 18:02:33}, priority = {2}, publisher = {American Physical Society}, title = {Number of Loops of Size \$h\$ in Growing Scale-Free Networks}, url = {http://dx.doi.org/10.1103/PhysRevLett.90.078701}, volume = {90}, year = {2003} }

TY - JOUR ID - citeulike:5056630 L3 - citeulike-article-id:5056630 N2 - The hierarchical structure of scale-free networks has been investigated focusing on the scaling of the number N h ( t ) of loops of size h as a function of the system size. In particular; we have found the analytic expression for the scaling of N h ( t ) in the Barabási-Albert (BA) scale-free network. We have performed numerical simulations on the scaling law for N h ( t ) in the BA network and in other growing scale-free networks; such as the bosonic network and the aging nodes network. We show that in the bosonic network and in the aging node network the phase transitions in the topology of the network are accompained by a change in the scaling of the number of loops with the system size. IS - 7 JF - Physical Review Letters TI - Number of Loops of Size $h$ in Growing Scale-Free Networks PB - American Physical Society VL - 90 SP - 078701 KW - growing KW - loops KW - network KW - networks KW - number KW - of KW - scale-free KW - size KW - structure AU - Bianconi, Ginestra AU - Capocci, Andrea PY - 2003/Feb// UR - http://dx.doi.org/10.1103/PhysRevLett.90.078701 ER -