Michał Pilipczuk, Structural properties of powers of sparse graphs
Zoom ID: 869 4632 6610 (ibsdimag)For a graph G and an integer d, the dth power of G is the graph
For a graph G and an integer d, the dth power of G is the graph
We will give an overview of the recent attempts of building a structure theory for graphs centered around First-Order transductions: a notion of containment inspired by finite model theory. Particularly, we will speak about the notions of monadic dependence and monadic stability, their combinatorial characterizations, and the developments on the algorithmic front.