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Mathematical Approaches to WMD Defense and Vulnerability Assessments of Dynamic Networks

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Technical Report,30 Mar 2010,11 Aug 2015

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University of Florida Gainesville United States

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This report addresses the study of Network Adaptability from Weapons of Mass Destruction WMD Disruption and Cascading Failures. The general theme of the research studies the problems of combating disruptions due to WMD C-WMD onnetworks, taking into account real-world dynamics on critical infrastructures that are vulnerable to such attacks. Our research examines new modes of attack that are relevant to WMD analysis, and considers networks that are overlays of several individually functioning but related structures such as telecommunications, transportation, and electricity grids. More importantly, we analyze network dynamics that include cascading failures due to capacities on nodes and links, decentralized behavior due to independent agents on these networks, and adaptive recovery schemes in telecommunications settings. Thus, our analysis goes far beyond simple connectivity measures of graphs as a metric of damage, and considers much more relevant forms of disruption that could occur on our nations infrastructure.

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