Topological Analysis of Wireless Networks (TAWN)
Technical Report,12 Feb 2015,31 May 2016
American University Washington United States
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The goal of this project was to develop topological methods to detect and localize vulnerabilities of wireless communication networks to jamming and traffic overload. Our analysis used high-dimensional cell complexes to describe broadcast resources. Local protocol, activity, and channel conditions can be associated to such a cell complex using a mathematical object called a sheaf. We leveraged the existing mathematical literature on sheaves that describes how to draw globalnetwork-wide inferences from them.