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- 1A graph-theoretic approach
- 1Capacity cost
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A graph-theoretic approach to the construction of Lyapunov functions for coupled systems on networks
DownloadFall 2010
For coupled systems of differential equations on networks, a graph-theoretic approach to the construction of Lyapunov functions is systematically developed in this thesis. Kirchhoff’s Matrix-Tree Theorem in graph theory plays an essential role in the approach’s development. The approach is...
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Fall 2009
The Dual Failure Restorability (DFR) problems involve the design of network topology to be restorable in the event of single and dual failures scenarios. We developed new integer linear programming (ILP) models to optimally design mesh topology networks with various survivability schemes; span...
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