Matthew Kwan "Friendly bisections of random graphs"
Matthew Kwan from IST Austria will give the talk Friendly bisections of random graphs" on the labs' Big Seminar.
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Resolving a conjecture of Füredi, we prove that almost every $n$-vertex graph admits a partition of its vertex set into two parts of equal size in which almost all vertices have more neighbours on their own side than across. Our proof involves some new techniques for studying processes driven by degree information in random graphs, which may be of general interest.
Watch the video:
Everyone is invited to attend. The language of the lecture is English. The event is aimed at master and graduate students, as well as researchers in the field of combinatorics.