Spectral Graph TheoryData in the Food Pipeline View all 4 Articles. A foodshed is a geographic area from which a population derives its food supply, but a method to determine boundaries of foodsheds has not been formalized. Drawing on the food—water—energy nexus, we propose a formal network science definition of foodsheds by using data from virtual water flows, i. In particular, we use spectral graph partitioning for directed graphs. If foodsheds turn out to be geographically compact, it suggests the food system is local and therefore reduces energy and externality costs of food transport.
The Unreasonable Effectiveness of Spectral Graph Theory: A Confluence of Algorithms, Geometry & ...
Spectral Graph Theory (CBMS Regional Conference Series in Mathematics, No. 92)
To subscribe to the current year of Memoirs of the AMS , please download this required license agreement. Complete and sign the license agreement. Email, fax, or send via postal mail to:. Beautifully written and elegantly presented, this book is based on 10 lectures given at the CBMS workshop on spectral graph theory in June at Fresno State University. Chung's well-written exposition can be likened to a conversation with a good teacher—one who not only gives you the facts, but tells you what is really going on, why it is worth doing, and how it is related to familiar ideas in other areas. The monograph is accessible to the nonexpert who is interested in reading about this evolving area of mathematics.
Original Research ARTICLE
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Metrics details. Most real networks are too large or they are not available for real time analysis. Therefore, in practice, decisions are made based on partial information about the ground truth network. It is of great interest to have metrics to determine if an inferred network the partial information network is similar to the ground truth. In this paper we develop a test for similarity between the inferred and the true network. Our research utilizes a network visualization tool, which systematically discovers a network, producing a sequence of snapshots of the network. We introduce and test our metric on the consecutive snapshots of a network, and against the ground truth.