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,Bounding Threshold Dimension: Realizing Graphic Boolean Functions as?the?AND of?Majority Gates,vectors of the cliques of .. Introduced in [Aggregation of inequalities in integer programming. Chvátal and Hammer, Annals of Discrete Mathematics, 1977], the . of a graph ., denoted by ., is the minimum number of threshold graphs whose intersection yields .. Given a graph . on . vertices, in line w

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isotope

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ADORE

,Token Sliding on?Graphs of?Girth Five, there exists a constant . such that the problem becomes fixed-parameter tractable on graphs of girth at least .. We answer their question positively and prove that the problem is indeed fixed-parameter tractable on graphs of girth five or more, which establishes a full classification of the tractability of . based on the girth of the input graph.

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FLIP

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Literaturwissenschaft / Kulturwissenschaftrs was in P. Recently, Lafond [SODA 2022] showed an XP algorithm when parameterized by ., while leaving the main question open. In this paper, we explore this question from the perspective of two alternative models of leaf powers, showing that both a linear and a star variant of leaf powers can be recognized in polynomial-time.

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