Hi all,
Please join us for Lunch in Theory this Thursday, 02/18 at 12:00 PM in GCS 302c. This week we have a guest speaker, Jack Spalding Jamieson presenting an exciting talk on graph partitioning. Please find the title and abstract attached.
Reminder: Please bring your own lunch, as lunch will not be provided.
Title: Reweighted Spectral Partitioning Works: A Simple Algorithm for Vertex Separators in Special Graph Classes
Abstract: Graph partitioning is the study of breaking a graph into smaller parts. One key structure from this area with widespread use in algorithms is the concept of a "small balanced vertex separator". Although small balanced vertex separators are known to exist for a number of graph classes (planar graphs, genus-g graphs, forbidden-minor graphs, geometric graphs, and more), the corresponding algorithms to compute these separators are often intractable. In this work, we show that an unspecialized polynomial-time algorithm called "reweighted spectral partitioning" can be used to obtain near-optimal small balanced vertex separators for many graph classes, even though the algorithm itself does not make use of any specialized information about these graph classes.