TY - JOUR
T1 - Structural bottlenecks for communication in networks
AU - Sreenivasan, Sameet
AU - Cohen, Reuven
AU - López, Eduardo
AU - Toroczkai, Zoltán
AU - Stanley, H. Eugene
PY - 2007/3/5
Y1 - 2007/3/5
N2 - We consider the effect of network topology on the optimality of packet routing which is quantified by γc, the rate of packet insertion beyond which congestion and queue growth occurs. We show that for any network, there exists an absolute upper bound, expressed in terms of vertex separators, for the scaling of γc with network size N, irrespective of the static routing protocol used. We then derive an estimate to this upper bound for scale-free networks and introduce a static routing protocol, the "hub avoidance protocol," which, for large packet insertion rates, is superior to the shortest path routing protocol.
AB - We consider the effect of network topology on the optimality of packet routing which is quantified by γc, the rate of packet insertion beyond which congestion and queue growth occurs. We show that for any network, there exists an absolute upper bound, expressed in terms of vertex separators, for the scaling of γc with network size N, irrespective of the static routing protocol used. We then derive an estimate to this upper bound for scale-free networks and introduce a static routing protocol, the "hub avoidance protocol," which, for large packet insertion rates, is superior to the shortest path routing protocol.
UR - http://www.scopus.com/inward/record.url?scp=33847700895&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.75.036105
DO - 10.1103/PhysRevE.75.036105
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C2 - 17500757
AN - SCOPUS:33847700895
SN - 1539-3755
VL - 75
JO - Physical Review E
JF - Physical Review E
IS - 3
M1 - 036105
ER -