Media Summary: We introduce Cayley graphs and start describing the theory of characters of abelian groups. A quick review of linear algebra facts about eigenvalues and eigenvectors of real symmetric matrices. We conclude the discussion of the theory of characters of abelian groups, and we compute the eigenvalues of the cycle and the ...
Expanders Lecture 2 Part 5 - Detailed Analysis & Overview
We introduce Cayley graphs and start describing the theory of characters of abelian groups. A quick review of linear algebra facts about eigenvalues and eigenvectors of real symmetric matrices. We conclude the discussion of the theory of characters of abelian groups, and we compute the eigenvalues of the cycle and the ... Program : ICTS Workshop on HDXs and Codes ORGANIZERS : Irit Dinur (The Weizmann Institute of Science Rehovot, Israel), ... We discuss how to extend the methods of spectral graph theory to undirected graphs that are not regular, and we mention a ... We finish the proof the Cheeger inequality.
We introduce the "sweep" algorithm for spectral partitioning and we begin the proof of the difficult direction of the Cheeger ... Computer Science/Discrete Mathematics Seminar In this second week of class, we prove the Cheeger inequalities and we show how to compute eigenvalues and eigenvectors of ...
