Edmond A. Jonckheere
University of Southern California
Wednesday, April 14th, 2010
Abstract: In the quest to identify a single parameter that would encapsulate such relevant properties of networks as their potential to create congestion, network investigators have for the past decade focused their attention on the Small-World/Scale-Free dichotomy. Here, it is argued that the all encompassing parameter that predicts network behavior is curvature. Curvature indeed anticipates congestion, should the network be negative curved. Curvature indeed anticipates a balanced load, should the network be positively curved. Curvature indeed guarantees successful greedy forwarding of packets in sensor networks, provided the curvature has been uniformized by the Ricci flow.
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