of value less than 6/5 times the value of the minimum in an undirected
graph. This representation, discovered by Andras Benczur, is a
geometric representation of a collection of sets by diagonals of a
polygon in the plane. The representation extends the classical cactus
representation of Dinitz, Karzanov, and Lomonosov for all minimum
cuts. The proof of existence of the polygon representation will be
sketched.
This is joint work with Andras Benczur.