## Combinatorics Seminar

When: Sunday, November 29, 10am
Where: Schreiber 309
Speaker: Péter Erdős, Rényi Institute
Title: On degree sequences problems
## Abstract:

In this talk we will survey a series of old and new degree sequence
problems for simple graphs, bipartite graphs and directed graphs.
The general questions are:
the graphicality of a given degree sequence,
how to construct all possible realizations,
the connectivity problem of any two realizations under the swap
operations,
finally, the sampling problem of these realizations.
The first three problem classes are elementary combinatorics, but one
cannot always expect elementary answers. The last problem class is
highly technical.