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Sampling independent sets in the discrete torus

Sampling independent sets in the discrete torus

Abstract The even discrete torus is the graph T L , d on vertex set {0,ā€¦, L ā€“ 1} d (with L even) in which two vertices are adjacent if they differ on exactly one coordinate and differ by 1(mod L ) on that coordinate. The hardā€core measure with activity ā€¦