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arXiv · 1707.09042

On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model

Aukosh Jagannath·Subhabrata Sen
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Abstract

We establish a strict asymptotic inequality between a class of graph partition problems on the sparse End\H{o]s-R\'enyi 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.

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Aukosh Jagannath, Subhabrata Sen. 2017-07-27. On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model. https://arxiv.org/abs/1707.09042

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