Convergence of Random Walks

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

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Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

Cheeger's Inequalities

Explores Cheeger's inequalities for random walks on graphs and their implications.

Sparsest Cut: Leighton-Rao Algorithm

Covers the Leighton-Rao algorithm for finding the sparsest cut in a graph, focusing on its steps and theoretical foundations.

Graphical Models: Representing Probabilistic Distributions

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Cheeger's Inequality

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Sparsest Cut: Bourgain's Theorem

Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.

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