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楼主: Addendum
发表于 2025-3-28 17:04:31 | 显示全部楼层
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https://doi.org/10.1007/978-3-319-51649-3if and only if an .-monotone grid path connects the two endpoints without hitting an obstacle or another vertex. It was previously argued that all planar graphs have a grid-obstacle representation in 2D, and all graphs have a grid-obstacle representation in 3D. In this paper, we show that such const
发表于 2025-3-29 07:33:54 | 显示全部楼层
https://doi.org/10.1057/9780230619098 recognition is known to be in PSPACE). We show that two classes of uniform step length polygons can be reconstructed efficiently by finding and removing rectangles formed between consecutive convex boundary vertices called tabs. In particular, we give an .-time reconstruction algorithm for orthogon
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https://doi.org/10.1007/978-3-031-19153-4tic disjoint rectangles parallel to the .-plane, and the edges are unobstructed .-parallel visibilities between pairs of rectangles. In addition, the constructed representation is such that there is a plane that intersects all the rectangles, and this intersection defines a bar 1-visibility represen
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https://doi.org/10.1007/978-3-658-41670-6ed them as collections of simple closed curves that pairwise intersect in exactly two crossings. Grünbaum conjectured that the number of triangular cells . in digon-free arrangements of . pairwise intersecting pseudocircles is at least .. We present examples to disprove this conjecture. With a recur
发表于 2025-3-30 03:54:04 | 显示全部楼层
https://doi.org/10.1007/978-3-030-66988-1g with specific properties which we outline and demonstrate can be verified in linear time. In addition, a lace graph drawing has a topological requirement: it contains a set of non-contractible directed cycles which must be homotopic to (1, 0), that is, when drawn on a torus, each cycle wraps once
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