most citedBicriteria Polygon Aggregation with Arbitrary Shapes

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5 papers

cs.CG20261 cited

Bicriteria Polygon Aggregation with Arbitrary Shapes

Lotte Blank, David Eppstein, Jan-Henrik Haunert +6

We study the problem of aggregating a set of polygons by covering them with disjoint representative regions, thereby inducing a clustering of the polygons. Equivalently, this can b…

cs.CG2026

Fine-Grained Complexity of Continuous Euclidean k-Center

Lotte Blank, Karl Bringmann, Parinya Chalermsook +4

In the (continuous) Euclidean -center problem, given points in and an integer , the goal is to find center points in that minimize the m…

cs.DS2025

Randomized Dimensionality Reduction for Euclidean Maximization and Diversity Measures

Jie Gao, Rajesh Jayaram, Benedikt Kolbe +4

Randomized dimensionality reduction is a widely-used algorithmic technique for speeding up large-scale Euclidean optimization problems. In this paper, we study dimension reduction…

cs.CG2025

Computing Non-Obtuse Triangulations with Few Steiner Points

Mikkel Abrahamsen, Florestan Brunck, Jacobus Conradi +2

We present the winning implementation of the Seventh Computational Geometry Challenge (CG:SHOP 2025). The task in this challenge was to find non-obtuse triangulations for given pla…

cs.CG2025

Transforming Dogs on the Line: On the Fréchet Distance Under Translation or Scaling in 1D

Lotte Blank, Jacobus Conradi, Anne Driemel +3

The Fréchet distance is a computational mainstay for comparing polygonal curves. The Fréchet distance under translation, which is a translation invariant version, considers the s…