| Title: | Faster distance-based representative skyline and k-center along pareto front in the plane |
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| Authors: | ID Cabello, Sergio (Author) |
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| Files: |  URL - Source URL, visit https://link.springer.com/article/10.1007/s10898-023-01280-1
 PDF - Presentation file, download (2,13 MB)
MD5: 6B274F3D80C2B0EF1B0EF7D70DB07F8A
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | We consider the problem of computing the distance-based representative skyline in the plane, a problem introduced by Tao, Ding, Lin and Pei and independently considered by Dupin, Nielsen and Talbi in the context of multi-objective optimization. Given a set $P$ of $n$ points in the plane and a parameter $k$, the task is to select $k$ points of the skyline defined by $P$ (also known as Pareto front for $P$) to minimize the maximum distance from the points of the skyline to the selected points. We show that the problem can be solved in $O(n \log h)$ time, where $h$ is the number of points in the skyline of $P$. We also show that the decision problem can be solved in $O(n \log k)$ time and the optimization problem can be solved in $O(n \log k + n \log\log n)$ time. This improves previous algorithms and is optimal for a large range of values of $k$. |
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| Keywords: | geometric optimization, skyline, pareto front, clustering, k-center |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.06.2023 |
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| Year of publishing: | 2023 |
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| Number of pages: | str. 441-466 |
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| Numbering: | Vol. 86, iss. 2 |
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| PID: | 20.500.12556/DiRROS-18407  |
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| UDC: | 004.9:519.8 |
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| ISSN on article: | 0925-5001 |
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| DOI: | 10.1007/s10898-023-01280-1 |
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| COBISS.SI-ID: | 145465859 |
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| Note: | Spletna objava: 16. 3. 2023;
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| Publication date in DiRROS: | 15.03.2024 |
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| Views: | 88 |
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| Downloads: | 43 |
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