TY - JOUR

T1 - Optimization of network robustness to random breakdowns

AU - Paul, Gerald

AU - Sreenivasan, Sameet

AU - Havlin, Shlomo

AU - Eugene Stanley, H.

PY - 2006/10/15

Y1 - 2006/10/15

N2 - We study network configurations that provide optimal robustness to random breakdowns for networks with a given number of nodes N and a given cost-which we take as the average number of connections per node 〈 k 〉. We find that the network design that maximizes fc, the fraction of nodes that are randomly removed before global connectivity is lost, consists of q = [(〈 k 〉 - 1) / sqrt(〈) k 〉] sqrt(N) high degree nodes ("hubs") of degree sqrt(〈 k 〉 N) and N - q nodes of degree 1. Also, we show that 1 - fc approaches 0 as 1 / sqrt(N)-faster than any other network configuration including scale-free networks. We offer a simple heuristic argument to explain our results.

AB - We study network configurations that provide optimal robustness to random breakdowns for networks with a given number of nodes N and a given cost-which we take as the average number of connections per node 〈 k 〉. We find that the network design that maximizes fc, the fraction of nodes that are randomly removed before global connectivity is lost, consists of q = [(〈 k 〉 - 1) / sqrt(〈) k 〉] sqrt(N) high degree nodes ("hubs") of degree sqrt(〈 k 〉 N) and N - q nodes of degree 1. Also, we show that 1 - fc approaches 0 as 1 / sqrt(N)-faster than any other network configuration including scale-free networks. We offer a simple heuristic argument to explain our results.

KW - Network robustness

KW - Random breakdown

UR - http://www.scopus.com/inward/record.url?scp=33748195533&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2006.02.044

DO - 10.1016/j.physa.2006.02.044

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:33748195533

SN - 0378-4371

VL - 370

SP - 854

EP - 862

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 2

ER -