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Mathematical Physics Seminar

Friendly Bisections of Random Graphs

Bhargav Narayanan - Rutgers University

Location:  Hill Center Room 705
Date & time: Thursday, 22 September 2022 at 12:00PM - 1:00PM

Abstract - We prove that with high probability, the random graph G(n,1/2) on an even number of vertices admits a partition of its vertex set into two parts of equal size in which n ? o(n) vertices have more neighbours on their own side than across. This settles an old conjecture of Furedi from 1988, which also appears as Problem 91 in Ben Green’s list of 100 open problems.

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