• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Geometric Algorithms for Portable devices

Research Project

Project/Area Number 17K12635
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Theory of informatics
Research InstitutionTohoku University

Principal Investigator

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

Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Discontinued (Fiscal Year 2019)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
KeywordsAlgorithms / Computational Geometry / Distributed algorithms / NP-completeness / Data Structures / Simple Polygons / Routing / Sensor Networks / Computer Science / Time-Space Trade-off / Combinatorial Geometry / Ad-Hoc Networks / Ad-hoc Networks / Geometric Graphs
Outline of Annual Research Achievements

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.

Report

(3 results)
  • 2019 Annual Research Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (33 results)

All 2019 2018 2017 2016

All Journal Article (20 results) (of which Int'l Joint Research: 16 results,  Peer Reviewed: 16 results,  Open Access: 4 results,  Acknowledgement Compliant: 1 results) Presentation (13 results) (of which Int'l Joint Research: 13 results)

  • [Journal Article] Dynamic Graph Coloring2019

    • Author(s)
      Luis Barba, Jean Cardinal, Matias Korman, Stefan Langerman, Andre; van Renssen, Marcel Roeloffzen, Sander Verdonschot
    • Journal Title

      Algorithmica

      Volume: 81(4) Issue: 4 Pages: 1319-1341

    • DOI

      10.1007/s00453-018-0473-y

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Faster algorithms for growing prioritized disks and rectangles2019

    • Author(s)
      Hee-Kap Ahn, Sang Won Bae, Jong Min Choi, Matias Korman, Wolfgang Mulzer, Eunjin Oh, Ji-won Park, Ande van Renssen, Antoine Vigneron
    • Journal Title

      Comput. Geom

      Volume: 80 Pages: 23-39

    • DOI

      10.1016/j.comgeo.2019.02.001

    • Related Report
      2019 Annual Research Report 2018 Research-status Report
  • [Journal Article] Packing plane spanning graphs with short edges in complete geometric graphs2019

    • Author(s)
      Oswin Aichholzer, Thomas Hackl, Matias Korman, Alexander Pilz, Andre van Renssen, Marcel Roeloffzen, Gunter Rote, Birgit Vogtenhuber
    • Journal Title

      Comput. Geom

      Volume: 82 Pages: 1-15

    • DOI

      10.1016/j.comgeo.2019.04.001

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Group evolution patterns in running races2019

    • Author(s)
      Yago Diez, Marta Fort, Matias Korman, Joan Antoni Sellares
    • Journal Title

      Inf. Sci

      Volume: 479 Pages: 20-39

    • DOI

      10.1016/j.ins.2018.11.044

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Computing the geodesic centers of a polygonal domain2019

    • Author(s)
      S. W. Bae, M. Korman, and Y. Okamoto
    • Journal Title

      Computational Geometry: Theory and Applications

      Volume: 77 Pages: 3-9

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Gap-planar graphs2018

    • Author(s)
      S. W. Bae, J.-F. Baffier, J. Chun, P. Eades, K. Eickmeyer, L. Grilli, S.-H. Hong, M. Korman, F. Montecchiani, I. Rutter, and C. D. Toth
    • Journal Title

      Theoretical Computer Science

      Volume: 745 Pages: 36-52

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Computational geometry column 67.2018

    • Author(s)
      B. Banyassady, M. Korman, and W. Mulzer
    • Journal Title

      SIGACT News, 49

      Volume: 2 Pages: 77-94

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Improved time-space trade-offs for computing voronoi diagrams2018

    • Author(s)
      B. Banyassady, M. Korman, W. Mulzer, A. v. Renssen, M. Roeloffzen, P. Seiferth, and Y. Stein
    • Journal Title

      Journal of Computational Geometry

      Volume: 1 Pages: 191-212

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dynamic graph coloring2018

    • Author(s)
      L.Barba, J.Cardinal, M.Korman, S.Langerman, A.v.Renssen, M.Roeloffzen,and S.Verdonschot
    • Journal Title

      Algorithmica

      Volume: 1 Pages: 1-1

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Routing on the visibility graph2018

    • Author(s)
      P. Bose, M. Korman, A. van Renssen, and S. Verdonschot
    • Journal Title

      Journal of Computational Geometry

      Volume: 9(1) Pages: 430-453

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] High dimensional consistent digital segments2018

    • Author(s)
      M.Chiu and M.Korman
    • Journal Title

      SIAM Journal on Discrete Mathematics

      Volume: 32(4) Pages: 2566-2590

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Line segment covering of cells in arrangements2018

    • Author(s)
      Korman Matias、Poon Sheung-Hung、Roeloffzen Marcel
    • Journal Title

      Information Processing Letters

      Volume: 129 Pages: 25-30

    • DOI

      10.1016/j.ipl.2017.09.002

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The dual diameter of triangulations2018

    • Author(s)
      Korman Matias、Langerman Stefan、Mulzer Wolfgang、Pilz Alexander、Saumell Maria、Vogtenhuber Birgit
    • Journal Title

      Computational Geometry: Theory and Applications

      Volume: 68 Pages: 243-252

    • DOI

      10.1016/j.comgeo.2017.06.008

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Colored spanning graphs for set visualization2018

    • Author(s)
      Hurtado Ferran、Korman Matias、van Kreveld Marc、Loffler Maarten、Sacristan Vera、Shioura Akiyoshi、Silveira Rodrigo I.、Speckmann Bettina、Tokuyama Takeshi
    • Journal Title

      Computational Geometry: Theory and Applications

      Volume: 68 Pages: 262-276

    • DOI

      10.1016/j.comgeo.2017.06.006

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Stabbing segments with rectilinear objects2017

    • Author(s)
      Claverol Merce、Garijo Delia、Korman Matias、Seara Carlos、Silveira Rodrigo I.
    • Journal Title

      Applied Mathematics and Computation

      Volume: 309 Pages: 359-373

    • DOI

      10.1016/j.amc.2017.04.001

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Computing the L1 geodesic diameter and center of a polygonal domain2017

    • Author(s)
      S. W. Bae, M. Korman, J. S. B. Mitchell, Y. Okamoto, V. Polishchuk, and H. Wang. . , pages 1-28, 2016
    • Journal Title

      Discrete & Computational Geometry

      Volume: 57(3) Issue: 3 Pages: 674-701

    • DOI

      10.1007/s00454-016-9841-z

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Jean-Lou De Carufel, Matthew J. Katz, Matias Korman, Andre; van Renssen, Marcel Roeloffzen, Shakhar Smorodinsky2017

    • Author(s)
      On interference among moving sensors and related problems
    • Journal Title

      Journal of Computational Geometry

      Volume: 8 Pages: 32-46

    • DOI

      10.20382/JOCG.V8I1A3

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Boris Aronov, Matias Korman, Simon Pratt, Andre; van Renssen, Marcel Roeloffzen2017

    • Author(s)
      Time-space trade-offs for triangulating a simple polygon.
    • Journal Title

      Journal of Computational Geometry

      Volume: 8 Pages: 105-124

    • DOI

      10.20382/JOCG.V8I1A6

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Hanabi is NP-hard, even for cheaters who look at their cards2017

    • Author(s)
      Baffier Jean-Francois、Chiu Man-Kwun、Diez Yago、Korman Matias、Mitsou Valia、van Renssen Andre、Roeloffzen Marcel、Uno Yushi
    • Journal Title

      Theoretical Computer Science

      Volume: 675 Pages: 43-55

    • DOI

      10.1016/j.tcs.2017.02.024

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Computing the Geodesic Centers of a Polygonal Domain2016

    • Author(s)
      Sang Won Bae, Matias Korman, and Yoshio Okamoto
    • Journal Title

      Computational Geometry: Theory and Applications

      Volume: 印刷中 Pages: 3-9

    • DOI

      10.1016/j.comgeo.2015.10.009

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Circumscribing Polygons and Polygonizations for Disjoint Line Segments2019

    • Author(s)
      Hugo A. Akitaya, Matias Korman, Mikhail Rudoy, Diane L. Souvaine, Csaba D. Toth
    • Organizer
      SoCG 2019: 9:1-9:17
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Universal Reconfiguration of Facet-Connected Modular Robots by Pivots: The O(1) Musketeers2019

    • Author(s)
      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
    • Organizer
      ESA 2019: 3:1-3:14
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Circumscribing polygons and polygonizations for disjoint line segments.2019

    • Author(s)
      H. Akitaya, M. Korman, M. Rudoy, D. Souvaine, and C. Toth.
    • Organizer
      Symposium on Computational geometry (SoCG’19)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Rectilinear link diameter and radius in a rectilinear polygonal domain2018

    • Author(s)
      E. Arseneva, M. Chiu, M. Korman, A. Markovic, Y. Okamoto, A. Ooms, A. van Renssen, and M. Roeloffzen.
    • Organizer
      International Symposium on Algorithms and Computation
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Experimental Study of Compressed Stack Algorithms in Limited Memory Environments2018

    • Author(s)
      Jean-Francois Baffier, Yago Diez, Matias Korman
    • Organizer
      Symposium on Experimental Algorithms
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Routing in polygonal domains2017

    • Author(s)
      B. Banyassady, M. Korman, W. Mulzer, A. van Renssen, M. Roeloffzen, P. Seiferth, Y. Stein, B. Vogtenhuber, and M. Willert
    • Organizer
      Proc. of the 28th International Symposium on Algorithms and Computation (ISAAC'17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Routing on the visibility graph2017

    • Author(s)
      P. Bose, M. Korman, A. van Renssen, and S. Verdonschot
    • Organizer
      Proc. of the 28th International Symposium on Algorithms and Computation (ISAAC'17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Faster algorithms for growing prioritized disks and rectangles2017

    • Author(s)
      H.-K. Ahn, S. W. Bae, J. Choi, M. Korman, W. Mulzer, E. Oh, J. won Park, A. van Renssen, and A. Vigneron
    • Organizer
      Proc. of the 28th International Symposium on Algorithms and Computation (ISAAC'17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Gap-planar graphs2017

    • Author(s)
      S. W. Bae, J.-F. Baffier, J. Chun, P. Eades, K. Eickmeyer, L. Grilli, S.-H. Hong, M. Korman, F. Montecchiani, I. Rutter, and C. D. Toth
    • Organizer
      Proc. of the 25th International Symposium on Graph Drawing (GD'17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Constrained routing between non-visible vertices2017

    • Author(s)
      P. Bose, M. Korman, A. van Renssen, and S. Verdonschot
    • Organizer
      Proc. of the 23rd International Conference on Computing and Combinatorics (COCOON'17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Balanced line separators of unit disk graphs2017

    • Author(s)
      P. Carmi, M. Chiu, M. Katz, M. Korman, Y. Okamoto, A. van Renssen, M. Roeloffzen, T. Shiitada, and S. Smorodinsky
    • Organizer
      Proc. of the 16th Algorithms and Data Structures Symposium (WADS'17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Dynamic graph coloring2017

    • Author(s)
      L. Barba, J. Cardinal, M. Korman, S. Langerman, A. v. Renssen, M. Roeloffzen, and S. Verdonschot
    • Organizer
      Proc. of the 16th Algorithms and Data Structures Symposium (WADS'17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] High dimensional consistent digital segments2017

    • Author(s)
      M. Chiu and M. Korman
    • Organizer
      Proc. of the 33rd Symposium on Computational geometry (SoCG'17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research

URL: 

Published: 2017-04-28   Modified: 2021-01-27  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi