Consensus Theorem for Communication Networks

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Page 3 of 3

Covers handling network data, types of graphs, centrality measures, and properties of real-world networks.

Introduces elementary graph algorithms, focusing on Breadth-First Search and Depth-First Search.

Explores isogeny graphs of supersingular elliptic curves, showing optimal mixing times for random walks and applications to cryptography.

Explores depth-first search, breadth-first search, graph representation, and topological sorting in graphs.

Explores optimal binary search trees to minimize expected search cost and discusses graphs representation using adjacency matrices and lists.

Explores strongly connected components and condensation digraphs in networked control systems, demonstrating their practical implications.

Explores coordination in networked control systems, graph theory, and consensus algorithms.

Explores decentralized control of DC microgrids, PnP controllers, explicit inequalities, and stability in voltage tracking and current sharing.

Explores Networked Control Systems, addressing packet dropouts, network delays, stability, and control laws for system boundability.

Introduces Spectral Graph Theory, exploring eigenvalues and eigenvectors' role in graph properties.