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2019 年度 実績報告書

Geometric Algorithms for Portable devices

研究課題

研究課題/領域番号 17K12635
研究機関東北大学

研究代表者

Korman Matias  東北大学, 情報科学研究科, 助教 (80732718)

研究期間 (年度) 2017-04-01 – 2020-03-31
キーワードAlgorithms / Computational Geometry / Distributed algorithms / NP-completeness
研究実績の概要

Due to a change in location, we decided to interrupt the grant halfway through the year. Nonetheless, several of the milestones were achieved, even those planned for 2020 and 2021:
-Although the concept of convex hull is well known and studied, its extension to environment with obstacles was never studied. We introduced the problem, showed its complexity and introduced the first algorithm for computing it
-We studied the communication protocol for modular robots. Given a configuration of robots, we are interested in them communication so that they can reach another target shape. Although the problem turned out to be PSPACE hard (proof currently under review), we gave a constructive algorithm for the particular case in which you can add 5 helping robots in the exterior.

  • 研究成果

    (7件)

すべて 2019

すべて 雑誌論文 (5件) 学会発表 (2件) (うち国際学会 2件)

  • [雑誌論文] Dynamic Graph Coloring2019

    • 著者名/発表者名
      Luis Barba, Jean Cardinal, Matias Korman, Stefan Langerman, Andre; van Renssen, Marcel Roeloffzen, Sander Verdonschot
    • 雑誌名

      Algorithmica

      巻: 81(4) ページ: 1319-1341

    • DOI

      https://doi.org/10.1007/s00453-018-0473-y

  • [雑誌論文] Computing the geodesic centers of a polygonal domain2019

    • 著者名/発表者名
      Sang Won Bae, Matias Korman, Yoshio Okamoto
    • 雑誌名

      Comput. Geom

      巻: 77 ページ: 3-9

    • DOI

      https://doi.org/10.1016/j.comgeo.2015.10.009

  • [雑誌論文] Faster algorithms for growing prioritized disks and rectangles2019

    • 著者名/発表者名
      Hee-Kap Ahn, Sang Won Bae, Jong Min Choi, Matias Korman, Wolfgang Mulzer, Eunjin Oh, Ji-won Park, Ande van Renssen, Antoine Vigneron
    • 雑誌名

      Comput. Geom

      巻: 80 ページ: 23-39

    • DOI

      https://doi.org/10.1016/j.comgeo.2019.02.001

  • [雑誌論文] Packing plane spanning graphs with short edges in complete geometric graphs2019

    • 著者名/発表者名
      Oswin Aichholzer, Thomas Hackl, Matias Korman, Alexander Pilz, Andre van Renssen, Marcel Roeloffzen, Gunter Rote, Birgit Vogtenhuber
    • 雑誌名

      Comput. Geom

      巻: 82 ページ: 1-15

    • DOI

      https://doi.org/10.1016/j.comgeo.2019.04.001

  • [雑誌論文] Group evolution patterns in running races2019

    • 著者名/発表者名
      Yago Diez, Marta Fort, Matias Korman, Joan Antoni Sellares
    • 雑誌名

      Inf. Sci

      巻: 479 ページ: 20-39

    • DOI

      https://doi.org/10.1016/j.ins.2018.11.044

  • [学会発表] Circumscribing Polygons and Polygonizations for Disjoint Line Segments2019

    • 著者名/発表者名
      Hugo A. Akitaya, Matias Korman, Mikhail Rudoy, Diane L. Souvaine, Csaba D. Toth
    • 学会等名
      SoCG 2019: 9:1-9:17
    • 国際学会
  • [学会発表] Universal Reconfiguration of Facet-Connected Modular Robots by Pivots: The O(1) Musketeers2019

    • 著者名/発表者名
      Hugo A. Akitaya, Esther M. Arkin, Mirela Damian, Erik D. Demaine, Vida Dujmovic, Robin Y. Flatland, Matias Korman, Belen Palop, Irene Parada, Andre van Renssen, Vera Sacristan
    • 学会等名
      ESA 2019: 3:1-3:14
    • 国際学会

URL: 

公開日: 2021-01-27  

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