Mikkel Abrahamsen

Mikkel Abrahamsen

Associate Professor


  1. 2013
  2. Published

    An optimal algorithm computing edge-to-edge visibility in a simple polygon

    Abrahamsen, Mikkel, 2013, Proceedings of the 25th Canadian Conference on Computational Geometry: CCCG 2013. p. 157-162 6 p.

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  3. 2015
  4. Published

    An optimal algorithm for the separating common tangents of two polygons

    Abrahamsen, Mikkel, 2015, In: Leibniz International Proceedings in Informatics. 34, p. 198-208 11 p.

    Research output: Contribution to journalConference articleResearchpeer-review

  5. Published

    Spiral toolpaths for high-speed machining of 2d pockets with or without islands

    Abrahamsen, Mikkel, 2015, Proceedings of the ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE 2015. American Society of Mechanical Engineers, Vol. 2B. 10 p. DETC2015-46255

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  6. 2016
  7. Published

    Finding the maximum subset with bounded convex curvature

    Abrahamsen, Mikkel & Thorup, Mikkel, 2016, 32nd International Symposium on Computational Geometry (SoCG 2016). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 17 p. 4. (Leibniz International Proceedings in Informatics, Vol. 51).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  8. Published

    Graph reconstruction with a betweenness oracle

    Abrahamsen, Mikkel, Bodwin, G., Rotenberg, E. & Stöckel, M. D., 2016, 33rd Symposium on Theoretical Aspects of Computer Science (STACS 2016). Ollinger, N. & Vollmer, H. (eds.). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, p. 5:1-5:14 14 p. 5. (Leibniz International Proceedings in Informatics, Vol. 47).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  9. Published

    Outer common tangents and nesting of convex hulls in linear time and constant workspace

    Abrahamsen, Mikkel & Walczak, B., 2016, 24th Annual European Symposium on Algorithms (ESA 2016). Sankowski, P. & Zaroliagis, C. (eds.). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 15 p. 4. (Leibniz International Proceedings in Informatics, Vol. 57).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  10. 2017
  11. Published

    Best laid plans of lions and men

    Abrahamsen, Mikkel, Holm, Jacob, Rotenberg, E. & Wulff-Nilsen, Christian, 2017, 33rd International Symposium on Computational Geometry (SoCG 2017). Aronov, B. & Katz, M. J. (eds.). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 16 p. 6. (Leibniz International Proceedings in Informatics, Vol. 77).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  12. Published

    Irrational Guards are Sometimes Needed

    Abrahamsen, Mikkel, Adamaszek, A. & Miltzow, T., 2017, 33rd International Symposium on Computational Geometry (SoCG 2017). Aronov, B. & Katz, M. J. (eds.). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, p. 1-15 3. (Leibniz International Proceedings in Informatics (LIPIcs), Vol. 77).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  13. Published

    Minimum perimeter-sum partitions in the plane

    Abrahamsen, Mikkel, de Berg, M., Buchin, K., Mehr, M. & Mehrabi, A. D., 2017, 33rd International Symposium on Computational Geometry (SoCG 2017). Aronov, B. & Katz, M. J. (eds.). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 15 p. 4. (Leibniz International Proceedings in Informatics, Vol. 77).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  14. Published

    Near-Optimal Induced Universal Graphs for Bounded Degree Graphs

    Abrahamsen, Mikkel, Alstrup, Stephen, Holm, Jacob, Knudsen, M. B. T. & Stöckel, M., 2017, 44th International Colloquium on Automata, Languages, and Programming (ICALP 201. Chatzigiannaki, I., Indyk, P., Kuhn, F. & Muscholl, A. (eds.). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, p. 1-14 128. (Leibniz International Proceedings in Informatics (LIPIcs), Vol. 80).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  15. Published

    New results on classical problems in computational geometry in the plane

    Abrahamsen, Mikkel, 2017, Department of Computer Science, Faculty of Science, University of Copenhagen.

    Research output: Book/ReportPh.D. thesisResearch

  16. Published

    Range-clustering queries

    Abrahamsen, Mikkel, de Berg, M., Buchin, K., Mehr, M. & Mehrabi, A. D., 2017, 33rd International Symposium on Computational Geometry (SoCG 2017). Aronov, B. & Katz, M. J. (eds.). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 16 p. 5. (Leibniz International Proceedings in Informatics, Vol. 77).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  17. 2018
  18. 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. 564-573

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  19. 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. 65-73

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  20. 2019
  21. 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 journalJournal articleResearchpeer-review

  22. 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 proceedingArticle in proceedingsResearchpeer-review

  23. 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. 105-117

    Research output: Contribution to journalJournal articleResearchpeer-review

  24. 2020
  25. 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 journalJournal articleResearchpeer-review

  26. Published

    Escaping an Infinitude of Lions

    Abrahamsen, Mikkel, Holm, Jacob, Rotenberg, E. & Wulff-Nilsen, Christian, 2020, In: The American Mathematical Monthly. 127, 10, p. 880-896

    Research output: Contribution to journalJournal articleResearchpeer-review

  27. 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 9317895

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  28. 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. 575–607

    Research output: Contribution to journalJournal articleResearchpeer-review

  29. 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. 483–505

    Research output: Contribution to journalJournal articleResearchpeer-review

  30. 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 journalJournal articleResearchpeer-review

  31. 2021
  32. 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 proceedingArticle in proceedingsResearchpeer-review

  33. 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 proceedingArticle in proceedingsResearchpeer-review

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