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03/13/2023
Drawings of Complete Multipartite Graphs Up to Triangle Flips
For a drawing of a labeled graph, the rotation of a vertex or crossing i...
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05/17/2022
Coloring circle arrangements: New 4-chromatic planar graphs
Felsner, Hurtado, Noy and Streinu (2000) conjectured that arrangement gr...
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05/18/2021
Snipperclips: Cutting Tools into Desired Polygons using Themselves
We study Snipperclips, a computer puzzle game whose objective is to crea...
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10/05/2020
Recognizing embedded caterpillars with weak unit disk contact representations is NP-hard
Weak unit disk contact graphs are graphs that admit a representation of ...
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07/31/2020
New Results in Sona Drawing: Hardness and TSP Separation
Given a set of point sites, a sona drawing is a single closed curve, dis...
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06/24/2020
Distance bounds for high dimensional consistent digital rays and 2-D partially-consistent digital rays
We consider the problem of digitalizing Euclidean segments. Specifically...
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03/20/2020
Computational Complexity of the α-Ham-Sandwich Problem
The classic Ham-Sandwich theorem states that for any d measurable sets i...
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03/18/2020
A Generalization of Self-Improving Algorithms
Ailon et al. [SICOMP'11] proposed self-improving algorithms for sorting ...
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11/06/2019
On the Average Complexity of the k-Level
Let A be an arrangement of n lines in the Euclidean plane. The <i>k-leve...
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04/07/2019
Implicit Manifold Reconstruction
Let M⊂R^d be a compact, smooth and boundaryless manifold with dimension ...
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02/18/2019
Routing in Histograms
Let P be an x-monotone orthogonal polygon with n vertices. We call P a s...
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02/01/2019
A note on self-improving sorting with hidden partitions
We study self-improving sorting with hidden partitions. Our result is an...
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12/15/2017
Rectilinear Link Diameter and Radius in a Rectilinear Polygonal Domain
We study the computation of the diameter and radius under the rectilinea...
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09/08/2017