Loading Events

« All Events

  • This event has passed.

Math Colloquium: Spectral Faux Trees and Coalescing Sets

September 30 @ 2:00 pm - 3:00 pm

Presented by Dr. Steve Butler, Professor of Mathematics, Iowa State University.

A classic problem in mathematics is “Can you hear the shape of a drum?” In graph theory, this is often phrased in terms of the eigenvalues of matrices associated with a graph, and whether a particular set of eigenvalues is associated with a unique graph. We will look at the existence and construction of graphs which are not trees but share eigenvalues with some tree (these are the “spectral faux trees” and examples where we “cannot hear the shape of a tree”). The answer to this problem varies significantly with which type of matrix is considered and we will consider several common matrices. We will also present a result that unexpectedly came up during the investigation of spectral faux trees that deals with the results of coalescing graphs.

Joint work with Elena D’Avanzo, Rachel Heikkinen, Joel Jeffries, Alyssa Kruczek, and Harper Niergarth


Share:

Details

Date:
September 30
Time:
2:00 pm - 3:00 pm
Event Categories:
,
Event Tags:

Venue

UWM EMS Building, Room E495
3200 N. Cramer Avenue
Milwaukee, WI 53211 United States
+ Google Map

Organizer

Mathematical Sciences Department
Phone:
414-229-4836
Email:
math-staff@uwm.edu
Website:
https://uwm.edu/math/