Department Seminars and Colloquia
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Spectral Graph Theory (IX)
Graph Theory Reading GroupLiz Stanhope
Institution: Lewis \& Clark College
Date: Wed 2nd May 2012
Time: 1:00 PM
Location: Room 107, Richard Berry Building
Abstract: We will discuss Chapter 2 of Chung's text, ``Isoperimetric Problems." Isoperimetric numbers for vertex and edge expansion in the setting of the normalized Laplacian will be defined. We will compare `Cheeger inequalities' for the combinatorial and normalized Laplacian, as well as derive a similar inequality for the vertex expansion setting. Isoperimetric inequalities for Cartesian products of graphs will be given.