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- Friendly bisections of random graphs
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Abstract:
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. This is joint work with Asaf Ferber, Bhargav Narayanan, Ashwin Sah and Mehtaab Sawhney.
This is a seminar of the Combinatorial Mathematics Society of Australasia., opens in a new window
Speaker
Matthew Kwan
Research Area
Combinatronics Seminar
Affiliation
IST Austria
Date
Wed, 15/09/2021 - 5:00pm
Venue
https://unsw.zoom.us/j/99740631801