Exploring Expanders Lecture 3 Part 5

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  • We introduce Cayley graphs and start describing the theory of characters of abelian groups.
  • A visualization of the power method applied to find the second eigenvalue of the Laplacian of a cycle and of an hypercube.
  • We discuss properties of
  • We describe the power method algorithm to approximately compute eigenvalues and eigenvectors, and begin the analysis.
  • Amir Yehudayoff Technion-Israel; Institute for Advanced Study February 23, 2012 The talk will have 2

In-Depth Information on Expanders Lecture 3 Part 5

We discuss how to extend the methods of spectral graph theory to undirected graphs that are not regular, and we mention a ... A quick overview of recent results on spectral graph theory, related to spectral clustering. A quick review of linear algebra facts about eigenvalues and eigenvectors of real symmetric matrices. More examples of Frechet embeddings.

Analysis of the power method.

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