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 -