Witness Set for simple polygons is in NP ∩ XP and admits an n^{f(k)}-time algorithm via combinatorial discretization, in contrast to its ∃R-complete dual.
McConnell and Jeremy P
2 Pith papers cite this work. Polarity classification is still indexing.
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Algorithm computes k-dimensional dominance drawing of DAG G (width w_G) for w_G ≤ k ≤ n/2 in O(kn) time after O(km) precomputation of compressed transitive closure, plus new concepts and bounds.
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Witness Set: A Visibility Problem in $NP\cap XP$
Witness Set for simple polygons is in NP ∩ XP and admits an n^{f(k)}-time algorithm via combinatorial discretization, in contrast to its ∃R-complete dual.
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Multidimensional Dominance Drawings
Algorithm computes k-dimensional dominance drawing of DAG G (width w_G) for w_G ≤ k ≤ n/2 in O(kn) time after O(km) precomputation of compressed transitive closure, plus new concepts and bounds.