1. KELSEY GASIOR, 2. OSMAN OKUTAN, and 3. MATTHEW RUSSO
2. Reeb graphs as metric graph approximations of geodesic spaces
Date: Friday, September 13, 2019
Place and Time: Room 101, Love Building, 3:35-4:25 pm
Refreshments: Room 204, Love Building, 3:00 pm
Abstracts. 1. TBA
2. A standard result in metric geometry is that every compact geodesic metric space can be approximated arbitrarily well by finite metric graphs in the Gromov-Hausdorff sense. It is well known that the first Betti number of the approximating graphs may blow up as the approximation gets finer. We study what happens if we put an upper bound on the first Betti number of approximating graphs and how can Reeb graphs be used in this situation.