2007
DOI: 10.1103/physreve.75.036105
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Structural bottlenecks for communication in networks

Abstract: We consider the effect of network topology on the optimality of packet routing which is quantified by gammac, 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 gammac 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 … Show more

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Cited by 138 publications
(146 citation statements)
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“…[6,7]. The transport capacity also exceeds the analytical estimate for its maximum value given in [7]. Furthermore, we argue that our algorithm achieves near-optimal routing for uncorrelated scale-free networks.…”
mentioning
confidence: 84%
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“…[6,7]. The transport capacity also exceeds the analytical estimate for its maximum value given in [7]. Furthermore, we argue that our algorithm achieves near-optimal routing for uncorrelated scale-free networks.…”
mentioning
confidence: 84%
“…Our algorithm leads to higher transport capacity than those presented in Refs. [6,7]. The transport capacity also exceeds the analytical estimate for its maximum value given in [7].…”
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confidence: 93%
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