Complete complexity dichotomies are proven for d-Cut, Perfect Matching Cut, and Maximum Matching Cut on partitioned probe H-free graphs.
SIAM Journal on Discrete Mathem atics 21, 573–591 (2007)
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Finding $d$-Cuts in Probe $H$-Free Graphs
Complete complexity dichotomies are proven for d-Cut, Perfect Matching Cut, and Maximum Matching Cut on partitioned probe H-free graphs.