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Documents authored by Terziadis, Soeren

Document
DOI: 10.4230/LIPIcs.IPEC.2024.26
The PACE 2024 Parameterized Algorithms and Computational Experiments Challenge: One-Sided Crossing Minimization

Authors: Philipp Kindermann, Fabian Klute, and Soeren Terziadis

Published in: LIPIcs, Volume 321, 19th International Symposium on Parameterized and Exact Computation (IPEC 2024)

Abstract
This article is a report by the challenge organizers on the 9th Parameterized Algorithms and Computational Experiments Challenge (PACE 2024). As was common in previous iterations of the competition, this year’s iteration implemented an exact and heuristic track for a parameterized problem that has gained attention in the theory community. This year’s challenge is about the One-Sided Crossing Minimization Problem (OSCM). In the exact track, the competition participants were asked to develop an exact algorithm that can solve as many instances as possible from a benchmark set of 100 instances – with a time limit of 30 minutes per instance. In the heuristic track, the task must be accomplished within 5 minutes, however, the result in this track is not required to be optimal. New this year is the parameterized track, which has the same rules as the exact track, but instances are guaranteed to have small cutwidth. As in previous iterations, the organizers handed out awards to the best solutions in all tracks and to the best student submissions.
Cite as

Philipp Kindermann, Fabian Klute, and Soeren Terziadis. The PACE 2024 Parameterized Algorithms and Computational Experiments Challenge: One-Sided Crossing Minimization. In 19th International Symposium on Parameterized and Exact Computation (IPEC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 321, pp. 26:1-26:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{kindermann_et_al:LIPIcs.IPEC.2024.26,
  author =	{Kindermann, Philipp and Klute, Fabian and Terziadis, Soeren},
  title =	{{The PACE 2024 Parameterized Algorithms and Computational Experiments Challenge: One-Sided Crossing Minimization}},
  booktitle =	{19th International Symposium on Parameterized and Exact Computation (IPEC 2024)},
  pages =	{26:1--26:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-353-9},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{321},
  editor =	{Bonnet, \'{E}douard and Rz\k{a}\.{z}ewski, Pawe{\l}},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.IPEC.2024.26},
  URN =		{urn:nbn:de:0030-drops-222521},
  doi =		{10.4230/LIPIcs.IPEC.2024.26},
  annote =	{Keywords: One-Sided Crossing Minimization, Algorithm Engineering, FPT, Heuristics}
}
Document
DOI: 10.4230/LIPIcs.ISAAC.2024.26
Constrained Boundary Labeling

Authors: Thomas Depian, Martin Nöllenburg, Soeren Terziadis, and Markus Wallinger

Published in: LIPIcs, Volume 322, 35th International Symposium on Algorithms and Computation (ISAAC 2024)

Abstract
Boundary labeling is a technique in computational geometry used to label dense sets of feature points in an illustration. It involves placing labels along an axis-aligned bounding box and connecting each label with its corresponding feature point using non-crossing leader lines. Although boundary labeling is well-studied, semantic constraints on the labels have not been investigated thoroughly. In this paper, we introduce grouping and ordering constraints in boundary labeling: Grouping constraints enforce that all labels in a group are placed consecutively on the boundary, and ordering constraints enforce a partial order over the labels. We show that it is NP-hard to find a labeling for arbitrarily sized labels with unrestricted positions along one side of the boundary. However, we obtain polynomial-time algorithms if we restrict this problem either to uniform-height labels or to a finite set of candidate positions. Finally, we show that finding a labeling on two opposite sides of the boundary is NP-complete, even for uniform-height labels and finite label positions.
Cite as

Thomas Depian, Martin Nöllenburg, Soeren Terziadis, and Markus Wallinger. Constrained Boundary Labeling. In 35th International Symposium on Algorithms and Computation (ISAAC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 322, pp. 26:1-26:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{depian_et_al:LIPIcs.ISAAC.2024.26,
  author =	{Depian, Thomas and N\"{o}llenburg, Martin and Terziadis, Soeren and Wallinger, Markus},
  title =	{{Constrained Boundary Labeling}},
  booktitle =	{35th International Symposium on Algorithms and Computation (ISAAC 2024)},
  pages =	{26:1--26:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-354-6},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{322},
  editor =	{Mestre, Juli\'{a}n and Wirth, Anthony},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2024.26},
  URN =		{urn:nbn:de:0030-drops-221539},
  doi =		{10.4230/LIPIcs.ISAAC.2024.26},
  annote =	{Keywords: Boundary labeling, Grouping constraints, Ordering constraints}
}
Document
DOI: 10.4230/LIPIcs.GD.2024.22
Boundary Labeling in a Circular Orbit

Authors: Annika Bonerath, Martin Nöllenburg, Soeren Terziadis, Markus Wallinger, and Jules Wulms

Published in: LIPIcs, Volume 320, 32nd International Symposium on Graph Drawing and Network Visualization (GD 2024)

Abstract
Boundary labeling is a well-known method for displaying short textual labels for a set of point features in a figure alongside the boundary of that figure. Labels and their corresponding points are connected via crossing-free leaders. We propose orbital boundary labeling as a new variant of the problem, in which (i) the figure is enclosed by a circular contour and (ii) the labels are placed as disjoint circular arcs in an annulus-shaped orbit around the contour. The algorithmic objective is to compute an orbital boundary labeling with the minimum total leader length. We identify several parameters that define the corresponding problem space: two leader types (straight or orbital-radial), label size and order, presence of candidate label positions, and constraints on where a leader attaches to its label. Our results provide polynomial-time algorithms for many variants and NP-hardness for others, using a variety of geometric and combinatorial insights.
Cite as

Annika Bonerath, Martin Nöllenburg, Soeren Terziadis, Markus Wallinger, and Jules Wulms. Boundary Labeling in a Circular Orbit. In 32nd International Symposium on Graph Drawing and Network Visualization (GD 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 320, pp. 22:1-22:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{bonerath_et_al:LIPIcs.GD.2024.22,
  author =	{Bonerath, Annika and N\"{o}llenburg, Martin and Terziadis, Soeren and Wallinger, Markus and Wulms, Jules},
  title =	{{Boundary Labeling in a Circular Orbit}},
  booktitle =	{32nd International Symposium on Graph Drawing and Network Visualization (GD 2024)},
  pages =	{22:1--22:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-343-0},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{320},
  editor =	{Felsner, Stefan and Klein, Karsten},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.GD.2024.22},
  URN =		{urn:nbn:de:0030-drops-213060},
  doi =		{10.4230/LIPIcs.GD.2024.22},
  annote =	{Keywords: External labeling, Orthoradial drawing, NP-hardness, Polynomial algorithms}
}
Document
DOI: 10.4230/LIPIcs.ISAAC.2022.34
Minimum Link Fencing

Authors: Sujoy Bhore, Fabian Klute, Maarten Löffler, Martin Nöllenburg, Soeren Terziadis, and Anaïs Villedieu

Published in: LIPIcs, Volume 248, 33rd International Symposium on Algorithms and Computation (ISAAC 2022)

Abstract
We study a variant of the geometric multicut problem, where we are given a set 𝒫 of colored and pairwise interior-disjoint polygons in the plane. The objective is to compute a set of simple closed polygon boundaries (fences) that separate the polygons in such a way that any two polygons that are enclosed by the same fence have the same color, and the total number of links of all fences is minimized. We call this the minimum link fencing (MLF) problem and consider the natural case of bounded minimum link fencing (BMLF), where 𝒫 contains a polygon Q that is unbounded in all directions and can be seen as an outer polygon. We show that BMLF is NP-hard in general and that it is XP-time solvable when each fence contains at most two polygons and the number of segments per fence is the parameter. Finally, we present an O(n log n)-time algorithm for the case that the convex hull of 𝒫⧵{Q} does not intersect Q.
Cite as

Sujoy Bhore, Fabian Klute, Maarten Löffler, Martin Nöllenburg, Soeren Terziadis, and Anaïs Villedieu. Minimum Link Fencing. In 33rd International Symposium on Algorithms and Computation (ISAAC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 248, pp. 34:1-34:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{bhore_et_al:LIPIcs.ISAAC.2022.34,
  author =	{Bhore, Sujoy and Klute, Fabian and L\"{o}ffler, Maarten and N\"{o}llenburg, Martin and Terziadis, Soeren and Villedieu, Ana\"{i}s},
  title =	{{Minimum Link Fencing}},
  booktitle =	{33rd International Symposium on Algorithms and Computation (ISAAC 2022)},
  pages =	{34:1--34:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-258-7},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{248},
  editor =	{Bae, Sang Won and Park, Heejin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2022.34},
  URN =		{urn:nbn:de:0030-drops-173191},
  doi =		{10.4230/LIPIcs.ISAAC.2022.34},
  annote =	{Keywords: computational geometry, polygon nesting, polygon separation}
}
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