SMS scnews item created by Boris Lishak at Tue 19 Mar 2019 1525
Type: Seminar
Modified: Tue 19 Mar 2019 1530
Distribution: World
Calendar1: 26 Mar 2019 1400-1500
CalLoc1: Carslaw 535A
CalTitle1: Liebenau -- On Ramsey equivalence in graph theory

Geometry and Topology Seminar

On Ramsey equivalence in graph theory

Anita Liebenau (UNSW)

Please join us for lunch before the talk. We are meeting at 12:45 on Carslaw level 2.

Abstract: In this talk I will introduce the notion of Ramsey equivalence of two graphs and showcase one or two proofs to illustrate the methods in this field. A graph G is called Ramsey for H if every red/blue-colouring of the edges of G produces a monochromatic copy of H. Two graphs H and H’ are called Ramsey equivalent if every graph G is either Ramsey for both H and H’, or for neither of them. This notion was introduced only in 2010, but arises naturally when studying properties of graphs G that are minimal with respect to being Ramsey for a fixed graph H. Interestingly, the complete graph is not Ramsey equivalent to any other connected graph but itself. My aim is to make this a gentle introduction, so not much previous knowledge on graphs or on Ramsey theory is assumed.

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