Minimum Ply Covering of Points with Unit Squares

نویسندگان

چکیده

Given a set P of points and U axis-parallel unit squares in the Euclidean plane, minimum ply cover with is subset that covers minimizes number share common intersection, called U. Biedl et al. [Comput. Geom., 94:101712, 2020] showed determining for by NP-hard, gave polynomial-time 2-approximation algorithm instances which constant. The question whether there exists approximation remained open when $$\omega (1)$$ . We settle this present $$(8+\varepsilon )$$ -approximation general problem, every fixed $$\varepsilon >0$$

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ژورنال

عنوان ژورنال: Lecture Notes in Computer Science

سال: 2023

ISSN: ['1611-3349', '0302-9743']

DOI: https://doi.org/10.1007/978-3-031-27051-2_3