On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model
Aukosh Jagannath, Sen, Subhabrata · arXiv (Cornell University) · 2017
We establish a strict asymptotic inequality between a class of graph partition problems on the sparse End\H{o]s-Rényi and random regular graph ensembles with the same average degree. Along the way, we establish a variational representation for the ground state energy for generalized mixed $p$-spin glasses and derive strict comparison inequalities for such models as the alphabet changes.