Lecture 2: Eigenvalues and Expanders 2.1 Lecture Outline

@inproceedings{Dwork2005Lecture2E,
  title={Lecture 2: Eigenvalues and Expanders 2.1 Lecture Outline},
  author={Cynthia Dwork and Geir T. Helleloid},
  year={2005}
}
There is a connection between the expansion of a graph and the eigengap (or spectral gap) of the normalized adjacency matrix (that is, the gap between the first and second largest eigenvalues). Recall that the largest eigenvalue of the normalized adjacency matrix is 1; denote it by λ1 and denote the second largest eigenvalue by λ2. We will see that a large… CONTINUE READING