Paul Seymour, Polynomial bounds for chromatic number

Zoom ID: 869 4632 6610 (ibsdimag)

The Gyárfás-Sumner conjecture says that for every forest $H$, there is a function $f$ such that the chromatic number $\chi(G)$ is at most $f(\omega(G))$ for every $H$-free graph $G$ ("$H$-free" means with

Tuukka Korhonen, Fast FPT-Approximation of Branchwidth

Zoom ID: 869 4632 6610 (ibsdimag)

Branchwidth determines how graphs, and more generally, arbitrary connectivity (basically symmetric and submodular) functions could be decomposed into a tree-like structure by specific cuts. We develop a general framework for

David Munhá Correia, Rainbow matchings

Zoom ID: 869 4632 6610 (ibsdimag)

I will discuss various results for rainbow matching problems. In particular, I will introduce a ‘sampling trick’ which can be used to obtain short proofs of old results as well

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