## Joint Degree Matrices

- Feb. 7, 2013
- 3:30 p.m.
- LeConte 312

## Abstract

The Joint Degree Matrix of a graph *G* is a matrix whose (*i,j*) entry records the number of edges connecting vertices of degree *i* to vertices of degree *j* in *G*. In this talk, we discuss the joint degree matrix model. Particularly, we address the following questions: When can a matrix be realized as a joint degree matrix of a graph? When a matrix can be realized, is there a simple way to move between different realizations? Will there be cookies?