Mikkel Abrahamsen
Associate Professor
Algorithms and Complexity
Universitetsparken 1
2100 København Ø
- 2023
- Published
Online Sorting and Translational Packing of Convex Polygons
Aamand, A., Abrahamsen, Mikkel, Beretta, Lorenzo & Kleist, L., 2023, Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). Bansal, N. & Nagarajan, V. (eds.). Society for Industrial and Applied Mathematics, p. 1806-1833Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
Tiling with Squares and Packing Dominos in Polynomial Time
Aamand, A., Abrahamsen, Mikkel, Rasmussen, Peter Michael Reichstein & Ahle, T. D., 2023, In: ACM Transactions on Algorithms. 19, 3, p. 1-28 30.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Constructing Concise Convex Covers via Clique Covers
Abrahamsen, Mikkel, Meyling, William Bille & Nusser, André Fritz, 2023, 39th International Symposium on Computational Geometry, SoCG 2023. Chambers, E. W. & Gudmundsson, J. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, p. 1-9 66. (Leibniz International Proceedings in Informatics, LIPIcs, Vol. 258).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
Coordination of Multiple Robots along Given Paths with Bounded Junction Complexity
Abrahamsen, Mikkel, Geft, T., Halperin, D. & Ugav, B., 2023, AAMAS '23: Proceedings of the 2023 International Conference on Autonomous Agents and Multiagent Systems. Association for Computing Machinery, p. 932-940Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
Distinguishing Classes of Intersection Graphs of Homothets or Similarities of Two Convex Disks
Abrahamsen, Mikkel & Walczak, B., 2023, 39th International Symposium on Computational Geometry, SoCG 2023. Chambers, E. W. & Gudmundsson, J. (eds.). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, p. 1-16 2. (Leibniz International Proceedings in Informatics, LIPIcs, Vol. 258).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
Geometric Embeddability of Complexes Is ∃R-Complete
Abrahamsen, Mikkel, Kleist, L. & Miltzow, T., 2023, 39th International Symposium on Computational Geometry, SoCG 2023. Chambers, E. W. & Gudmundsson, J. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 1. (Leibniz International Proceedings in Informatics, LIPIcs, Vol. 258).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
How to Cut Corners and Get Bounded Convex Curvature
Abrahamsen, Mikkel & Thorup, Mikkel, 2023, In: Discrete and Computational Geometry. 69, p. 1195–1231,Research output: Contribution to journal › Journal article › Research › peer-review
- 2022
- Published
Tiling with Squares and Packing Dominos in Polynomial Time
Aamand, Anders, Abrahamsen, Mikkel, Ahle, T. & Rasmussen, Peter Michael Reichstein, 2022, 38th International Symposium on Computational Geometry, SoCG 2022. Goaoc, X. & Kerber, M. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 1. (Leibniz International Proceedings in Informatics, LIPIcs, Vol. 224).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
Chasing Puppies: Mobile Beacon Routing on Closed Curves
Abrahamsen, Mikkel, Erickson, J., Kostitsyna, I., Löffler, M., Miltzow, T., Urhausen, J., Vermeulen, J. & Viglietta, G., 2022, In: Journal of Computational Geometry. 13, 2, p. 115-150Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Covering Polygons is Even Harder
Abrahamsen, Mikkel, 2022, 2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS). IEEE, p. 375-386Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
The Art Gallery Problem is ∃ℝ-complete
Abrahamsen, Mikkel, Adamaszek, A. & Miltzow, T., 28 Feb 2022, In: Journal of the ACM. 69, 1, p. 1-70 4.Research output: Contribution to journal › Journal article › Research › peer-review
- 2021
- Published
Classifying convex bodies by their contact and intersection graphs
Aamand, Anders, Abrahamsen, Mikkel, Knudsen, J. B. T. & Rasmussen, Peter Michael Reichstein, 2021, 37th International Symposium on Computational Geometry, SoCG 2021. Buchin, K. & de Verdiere, E. C. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 16 p. 3. (Leibniz International Proceedings in Informatics, LIPIcs, Vol. 189).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
Chasing puppies: Mobile beacon routing on closed curves
Abrahamsen, Mikkel, Erickson, J., Kostitsyna, I., Löffler, M., Miltzow, T., Urhausen, J., Vermeulen, J. & Viglietta, G., 2021, 37th International Symposium on Computational Geometry, SoCG 2021. Buchin, K. & de Verdiere, E. C. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 19 p. 5. (Leibniz International Proceedings in Informatics, LIPIcs, Vol. 189).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
Online packing to minimize area or perimeter
Abrahamsen, Mikkel & Beretta, Lorenzo, 2021, 37th International Symposium on Computational Geometry, SoCG 2021. Buchin, K. & de Verdiere, E. C. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 15 p. 6. (Leibniz International Proceedings in Informatics, LIPIcs, Vol. 189).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- 2020
- Published
Disks in Curves of Bounded Convex Curvature
Aamand, Anders, Abrahamsen, Mikkel & Thorup, Mikkel, 2020, In: American Mathematical Monthly. 127, 7, p. 579-593 15 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Escaping an Infinitude of Lions
Abrahamsen, Mikkel, Holm, Jacob, Rotenberg, E. & Wulff-Nilsen, Christian, 2020, In: The American Mathematical Monthly. 127, 10, p. 880-896Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Framework for er-completeness of two-dimensional packing problems
Abrahamsen, Mikkel, Miltzow, T. & Seiferth, N., 2020, Proceedings - 2020 IEEE 61st Annual Symposium on Foundations of Computer Science, FOCS 2020. IEEE Computer Society Press, p. 1014-1021 9317895Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
Geometric Multicut: Shortest Fences for Separating Groups of Objects in the Plane
Abrahamsen, Mikkel, Giannopoulos, P., Löffler, M. & Rote, G., 2020, In: Discrete & Computational Geometry. 64, p. 575–607Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Minimum perimeter-sum partitions in the plane
Abrahamsen, Mikkel, de Berg, M., Buchin, K., Mehr, M. & Mehrabi, A. D., 2020, In: Discrete & Computational Geometry. 63, p. 483–505Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Near-optimal induced universal graphs for cycles and paths
Abrahamsen, Mikkel, Alstrup, Stephen, Holm, Jacob, Knudsen, M. B. T. & Stöckel, M., 2020, In: Discrete Applied Mathematics. 282, p. 1-13 13 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2019
- Published
Common Tangents of Two Disjoint Polygons in Linear Time and Constant Workspace
Abrahamsen, Mikkel & Walczak, B., 2019, In: ACM Transactions on Algorithms. 15, 1, p. 1-21 12.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Geometric multicut
Abrahamsen, Mikkel, Giannopoulos, P., Löffler, M. & Rote, G., 2019, 46th International Colloquium on Automata, Languages, and Programming, ICALP 2019. Baier, C., Chatzigiannakis, I., Flocchini, P. & Leonardi, S. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, 15 p. 9. (Leibniz International Proceedings in Informatics, LIPIcs, Vol. 132).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
Spiral tool paths for high-speed machining of 2D pockets with or without islands
Abrahamsen, Mikkel, 1 Jan 2019, In: Journal of Computational Design and Engineering. 6, 1, p. 105-117Research output: Contribution to journal › Journal article › Research › peer-review
- 2018
- Published
Fast fencing
Abrahamsen, Mikkel, Adamaszek, A., Bringmann, K., Cohen-Addad, V., Mehr, M., Rotenberg, E., Roytman, A. & Thorup, Mikkel, 2018, STOC 2018 - Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing. Association for Computing Machinery, p. 564-573Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
The art gallery problem is ∃ ℝ-complete
Abrahamsen, Mikkel, Adamaszek, A. & Miltzow, T., 2018, STOC 2018 Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing. Association for Computing Machinery, p. 65-73Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
ID: 122742218
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Spiral tool paths for high-speed machining of 2D pockets with or without islands
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Graph reconstruction with a betweenness oracle
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Best laid plans of lions and men
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