The Peculiar Phase Structure of Random Graph Bisection

Allon G. Percus, Gabriel Istrate, Bruno Gonçalves, Robert Z. Sumi, and Stefan Boettcher Information Sciences Group, Computer, Computational and Statistical Sciences Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA and Department of Mathematics, UCLA, Los Angeles, California 90095, USA eAustria Research Institute, Bd. V. Pârvan 4, cam. 045B, RO-300223 Timişoara, Romania Department of Physics, Emory University, Atlanta, Georgia 30322-2430, USA Department of Physics, Babes-Bolyai University, RO-400884 Cluj, Romania and eAustria Research Institute, Bd. V. Pârvan 4, cam. 045B, RO-300223 Timişoara, Romania