Deleting k colors to place the residual augmented graph in a uniformly rank-r exact hereditary class yields Lasserre exactness at level k+r, with color-intersection graphs inducing clique-sum locality for blockwise algorithms on rainbow matching.
A comparison of the sherali-adams, lov´ asz-schrijver, and lasserre relaxations for 0–1 programming.Mathematics of Operations Research, 28(3):470–496, 2003
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Grouped Color Deletion, Lasserre Exactness and Clique-Sum Locality for Rainbow Matching
Deleting k colors to place the residual augmented graph in a uniformly rank-r exact hereditary class yields Lasserre exactness at level k+r, with color-intersection graphs inducing clique-sum locality for blockwise algorithms on rainbow matching.