## Threshold graphs, shifted complexes and graphical complexes

- Nov. 30, 2015
- 3:30 p.m.
- LeConte 312

## Abstract

We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the independent set, neighborhood, and dominance complexes. We present a number of structural results and relations among them including new characterizations of the class of threshold graphs.