Loading...
An Investigation of Synchrony in Transport Networks
Kincaid, Rex K. Alexamdrov, Natalia Holroyd, Michael J.
Kincaid, Rex K.
Alexamdrov, Natalia
Holroyd, Michael J.
Abstract
The cumulative degree distributions of transport networks, such as air transportation networks and respiratory neuronal networks, follow power laws. The significance of power laws with respect to other network performance measures, such as throughput and synchronization, remains an open question. Evolving methods for the analysis and design of air transportation networks must be able to address network performance in the face of increasing demands and the need to contain and control local network disturbances, such as congestion. Toward this end, we investigate functional relationships that govern the performance of transport networks; for example, the links between the first nontrivial eigenvalue, lambda(2), of a network's Laplacian matrix-a quantitative measure of network synchronizability-and other global network parameters. In particular among networks with a fixed degree distribution and fixed network assortativity (a measure of a networks preference to attach nodes based on a similarity or difference), those with small lambda(2) are shown to be poor synchronizers, to have much longer shortest paths and to have greater clustering in comparison to those with large lambda(2). A simulation of a respiratory network adds data. to our investigation. This study is a beginning step in developing metrics and design variables for the analysis and active design of air transport networks. (C) 2008 Wiley Periodicals, Inc. Complexity 14:34-43,2009
Description
Date
2009-01-01
Journal Title
Journal ISSN
Volume Title
Publisher
Collections
Download Dataset
Files
Rights Holder
Usage License
Embargo
Research Projects
Organizational Units
Journal Issue
Keywords
Citation
Advisor
Department
Mathematics
DOI
10.1002/cplx.20245