TY - CHAP
T1 - Directed and Non-directed Scale-Free Networks
AU - Cohen, R.
AU - Rozenfeld, Alejandro Fabian
AU - Schwartz, Nehemia
AU - ben-Avraham, Daniel
AU - Havlin, Shlomo
N1 - Proceedings of the XVIII Sitges conference, Eds. R. Pastor-Satorras and J. M. Rubi
PY - 2003
Y1 - 2003
N2 - Scale-free networks are networks with a scale-free degree distribution, i.e., where the distribution of the number of links per node is a power-law, p(k)=ck -λ . We review results for the properties of such networks, emphasizing the structural properties of these networks. We begin with normal random scale-free networks and present their percolation properties. We also review results for directed scale-free networks and their percolation properties. Finally we present a study of the possibility of embedding scale-free networks in a lattice.
AB - Scale-free networks are networks with a scale-free degree distribution, i.e., where the distribution of the number of links per node is a power-law, p(k)=ck -λ . We review results for the properties of such networks, emphasizing the structural properties of these networks. We begin with normal random scale-free networks and present their percolation properties. We also review results for directed scale-free networks and their percolation properties. Finally we present a study of the possibility of embedding scale-free networks in a lattice.
UR - http://link.springer.com/chapter/10.1007/978-3-540-44943-0_3
M3 - Chapter
VL - 625
T3 - Lecture Notes in Physics
SP - 23
EP - 45
BT - Statistical Mechanics of Complex Networks
A2 - Pastor-Satorras, Romualdo
A2 - Rubi, Miguel
A2 - Diaz-Guilera, Albert
PB - Springer
CY - Berlin Heidelberg
ER -