• 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 $G^d$ on the same vertex set as G where two vertices are considered adjacent if and only if they are at distance at most d in G. Assuming that G is sparse, what can we say about the structure

  • Michał Pilipczuk, Monadic stability and monadic dependence

    Room B332 IBS (기초과학연구원)

    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.