Probability Seminar: Extremal Cuts of Sparse Random Graphs
Probability Seminar
Apr 1, 2015, 03:10 PM - 04:00 PM | 1011 Evans Hall | Happening As Scheduled
Andrea Montanari, Stanford University
For Erdos-Renyi random graphs with average degree d, and uniformly random γdregular graph
on n vertices, we prove that with high probability the size of both the Max-Cut and maximum bisection
are n(d/4 + P_*\sqrt{d/4} + o(\sqrt{d})) while the size of the minimum bisection is
n(d/4 - P_*\sqrt{d/4} + o(\sqrt{d}))
Our derivation relates the free energy of the anti-ferromagnetic Ising model...