Exploring Expanders Lecture 3 Part 2

Exploring Expanders Lecture 3 Part 2 reveals several interesting facts.

  • Episode 2
  • 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.
  • Part
  • We describe the power method algorithm to approximately compute eigenvalues and eigenvectors, and begin the analysis.

In-Depth Information on Expanders Lecture 3 Part 2

Analysis of the power method. Part II of the lecture We continue the proof the Cheeger inequality. A visualization of the power method applied to find the second eigenvalue of the Laplacian of a cycle and of an hypercube.

We introduce the "sweep" algorithm for spectral partitioning and we begin the proof of the difficult direction of the Cheeger ...

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