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Space Efficient Algorithms and Time-Space Trade offs for Geometric Data

Research Project

Project/Area Number 16K16006
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Theory of informatics
Research InstitutionKyushu Institute of Technology

Principal Investigator

Saitoh Toshiki  九州工業大学, 大学院情報工学研究院, 准教授 (00590390)

Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsアルゴリズム / データ構造 / グラフ / 計算困難性 / 幾何構造 / 省領域アルゴリズム / 幾何データ
Outline of Final Research Achievements

We require efficient algorithms for big data. However, we cannot store the data into memory because of the size of the data. We need efficient algorithms which work in the sub linear space. In this research, we developed space efficient algorithms for geometric data. Especially, we proposed efficient algorithms on intervals and circular arcs. We also investigated the effectiveness of the space efficient data structures by the computer experiments.

Academic Significance and Societal Importance of the Research Achievements

本研究では,区間を中心とした幾何データに対する効率的な省領域アルゴリズムを開発した.提案したアルゴリズムは任意の入力サイズおよび計算領域で動作するため,どれだけ巨大なデータでも必ず停止することを保証している.本アルゴリズムを適用することにより,様々な高次元のデータに対する近似アルゴリズムの開発などを考えることができる.

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (43 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (7 results) Journal Article (11 results) (of which Int'l Joint Research: 6 results,  Peer Reviewed: 11 results,  Open Access: 4 results,  Acknowledgement Compliant: 1 results) Presentation (25 results) (of which Int'l Joint Research: 7 results,  Invited: 1 results)

  • [Int'l Joint Research] マサチューセッツ工科大学(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] ブリティッシュコロンビア大学/サスカチュワン大学(カナダ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] ユトレヒト大学(オランダ)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] チャールズ大学(チェコ)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] サイモンフレーザー大学/ブリティッシュコロンビア大学(カナダ)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] マサチューセッツ工科大学(米国)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] ユリウス・マクシミリアン大学(ドイツ)

    • Related Report
      2016 Research-status Report
  • [Journal Article] Sequentially Swapping Colored Tokens on Graphs2019

    • Author(s)
      Katsuhisa Yamanaka, Erik D. Demaine, Takashi Horiyama, Akitoshi Kawamura, Shin-Ichi Nakano, Yoshio Okamoto, Toshiki Saitoh, Akira Suzuki, Ryuhei Uehara, and Takeaki Uno
    • Journal Title

      Journal of Graph Algorithms and Applications

      Volume: 23 Issue: 1 Pages: 3-27

    • DOI

      10.7155/jgaa.00482

    • NAID

      120006779053

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The Time Complexity of Permutation Routing via Matching, Token Swapping and a Variant2019

    • Author(s)
      Kawahara Jun、Saitoh Toshiki、Yoshinaka Ryo
    • Journal Title

      Journal of Graph Algorithms and Applications

      Volume: 23 Issue: 1 Pages: 29-70

    • DOI

      10.7155/jgaa.00483

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Swapping colored token on graphs2018

    • Author(s)
      K. Yamanaka, T. Horiyama, J. M. Keil, D. G. Kirkpatrick, Y. Otachi, T. Saitoh, R. Uehara and Y. Uno
    • Journal Title

      Theoretical Computer Science

      Volume: 729 Pages: 1-10

    • DOI

      10.1016/j.tcs.2018.03.016

    • NAID

      120005850327

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Computational Complexity of Robot Arm Simulation Problems2018

    • Author(s)
      Feng Tianfeng、Horiyama Takashi、Okamoto Yoshio、Otachi Yota、Saitoh Toshiki、Uno Takeaki、Uehara Ryuhei
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 10979 Pages: 177-188

    • DOI

      10.1007/978-3-319-94667-2_15

    • ISBN
      9783319946665, 9783319946672
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exact Algorithms for the Max-Min Dispersion Problem2018

    • Author(s)
      Toshihiro Akagi, Tetsuya Araki, Takashi Horiyama, Shin-Ichi Nakano, Yoshio Okamoto, Yota Otachi, Toshiki Saitoh, Ryuhei Uehara, Takeaki Uno, Kunihiro Wasa
    • Journal Title

      Proceedings of 12th International Frontiers of Algorithmics Workshop (FAW 2018)

      Volume: --- Pages: 263-272

    • DOI

      10.1007/978-3-319-78455-7_20

    • NAID

      120006648104

    • ISBN
      9783319784540, 9783319784557
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Enumeration of Nonisomorphic Interval Graphs and Nonisomorphic Permutation Graphs2018

    • Author(s)
      Yamazaki Kazuaki、Saitoh Toshiki、Kiyomi Masashi、Uehara Ryuhei
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 10755 Pages: 8-19

    • DOI

      10.1007/978-3-319-75172-6_2

    • ISBN
      9783319751719, 9783319751726
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Complexity of the maximum k-path vertex cover problem2018

    • Author(s)
      Eiji Miyano, Toshiki Saitoh, Ryuhei Uehara, Tsuyoshi Yagita, Tom C. van der Zanden
    • Journal Title

      Proc. 12th Annual Workshop on Algorithms and Computation (WALCOM 2018)

      Volume: LNCS10755 Pages: 240-251

    • DOI

      10.1007/978-3-319-75172-6_21

    • NAID

      120006648103

    • ISBN
      9783319751719, 9783319751726
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Fast maximum weight clique extraction algorithm: Optimal tables for branch-and-bound2017

    • Author(s)
      Shimizu Satoshi、Yamaguchi Kazuaki、Saitoh Toshiki、Masuda Sumio
    • Journal Title

      Discrete Applied Mathematics

      Volume: 223 Pages: 120-134

    • DOI

      10.1016/j.dam.2017.01.026

    • Related Report
      2017 Research-status Report 2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Extending partial representations of interval graphs2017

    • Author(s)
      P. Klavik, J. Kratochvil, Y.chi, T. Saitoh, T. Vyskocil
    • Journal Title

      Algorithmica

      Volume: 印刷中 Issue: 3 Pages: 945-967

    • DOI

      10.1007/s00453-016-0186-z

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Extending partial representations of proper and unit interval graphs2016

    • Author(s)
      Pavel Klavik, Jan Kratochvil, Yota Otachi, Ignaz Rutter, Toshiki Saitoh, Maria Saumell, and Tomas Vyskocil
    • Journal Title

      Algorithmica

      Volume: to appear Issue: 4 Pages: 1071-1104

    • DOI

      10.1007/s00453-016-0133-z

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Ferrers Dimension of Grid Intersection Graphs2016

    • Author(s)
      Steven Chaplick, Pavol Hell, Yota Otachi, Toshiki Saitoh, and Ryuhei Uehara
    • Journal Title

      Discrete Applied Mathematics

      Volume: to appear Pages: 130-135

    • DOI

      10.1016/j.dam.2015.05.035

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Computational Complexity of Robot Arm Simulation Problems2018

    • Author(s)
      Tianfeng Feng, Takashi Horiyama, Yoshio Okamoto, Yota Otachi, Toshiki Saitoh, Takeaki Uno and Ryuhei Uehara
    • Organizer
      International Workshop on Combinatorial Algorithms (IWOCA 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Exact Algorithms for the Max-Min Dispersion Problem,2018

    • Author(s)
      Toshihiro Akagi, Tetsuya Araki, Takashi Horiyama, Shin-Ichi Nakano, Yoshio Okamoto, Yota Otachi, Toshiki Saitoh, Ryuhei Uehara, Takeaki Uno and Kunihiro Wasa
    • Organizer
      12th International Frontiers of Algorithmics Workshop (FAW 2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Validation of NMR protein structures using rigidity theory and chemical shifts2018

    • Author(s)
      Kazuhito Nishiyama, Toshiki Saitoh, Adnan Sljoka
    • Organizer
      情報処理学会 バイオ情報学研究会
    • Related Report
      2018 Annual Research Report
  • [Presentation] パス長を限定したパスカバー問題2018

    • Author(s)
      小林 賢也,Guohui Lin,宮野 英次,斎藤 寿樹,鈴木 顕,八木田 剛
    • Organizer
      情報処理学会九州支部「若手の会セミナー2018」
    • Related Report
      2018 Annual Research Report
  • [Presentation] Enumeration of Nonisomorphic Interval Graphs and Nonisomorphic Permutation Graphs2018

    • Author(s)
      Kazuaki Yamazaki, Toshiki Saitoh, Masashi Kiyomi, and Ryuhei Uehara
    • Organizer
      アルゴリズム研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] Computational Complexity of Robot Arm Simulation Problems2018

    • Author(s)
      Tianfeng Feng, Yoshio Okamoto, Yota Otachi, Takashi Horiyama, Toshiki Saitoh, Takeaki Uno, and Ryuhei Uehara
    • Organizer
      アルゴリズム研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] The Time Complexity of the Token Swapping Problem and Its Parallel Variants2017

    • Author(s)
      Jun Kawahara, Toshiki Saitoh, and Ryo Yoshinaka:
    • Organizer
      The 11th Annual Workshop on Algorithms and Computation (WALCOM 2017)
    • Place of Presentation
      Hsinchu (Taiwan)
    • Year and Date
      2017-03-29
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Sequentially Swapping Colored Tokens on Graphs2017

    • Author(s)
      Katsuhisa Yamanaka, Erik D. Demaine, Takashi Horiyama, Akitoshi Kawamura, Shin-Ichi Nakano, Yoshio Okamoto, Toshiki Saitoh, Akira Suzuki, Ryuhei Uehara, and Takeaki Uno
    • Organizer
      The 11th Annual Workshop on Algorithms and Computation (WALCOM 2017)
    • Place of Presentation
      Hsinchu (Taiwan)
    • Year and Date
      2017-03-29
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Space-Efficient and Output-Sensitive Implementations of Greedy Algorithms on Intervals2017

    • Author(s)
      Toshiki Saitoh and David Kirkpatrick
    • Organizer
      The 11th Annual Workshop on Algorithms and Computation (WALCOM 2017)
    • Place of Presentation
      Hsinchu (Taiwan)
    • Year and Date
      2017-03-29
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 木における 1 ラウンドボロノイゲームの後手の最適戦略2017

    • Author(s)
      杉本 晃弘, 斎藤 寿樹
    • Organizer
      コンピュテーション研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] 部分グラフクラス上での最大 k-パス頂点被覆問題2017

    • Author(s)
      八木田 剛, 宮野 英次, 斎藤 寿樹, 上原 隆平, Tom C. van der Zanden
    • Organizer
      コンピュテーション研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] Circular Arc 上の独立集合を求める省領域アルゴリズム2017

    • Author(s)
      浦川 翔平, Tom C. van der Zanden, 斎藤 寿樹, 上原 隆平
    • Organizer
      コンピュテーション研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] 三角形総個数最大化問題2017

    • Author(s)
      西島 歩美,江藤 宏,土中 哲秀,宮野 英次,小野 廣隆,大舘 陽太,斎藤 寿樹,上原 隆平, Tom C. vander Zanden
    • Organizer
      平成29年度OR学会九州支部・若手OR交流会
    • Related Report
      2017 Research-status Report
  • [Presentation] k-path vertex cover問題に関する研究2017

    • Author(s)
      八木田 剛,宮野 英次,斎藤 寿樹,上原 隆平,Tom C. vander Zanden
    • Organizer
      平成29年度OR学会九州支部・若手OR交流会
    • Related Report
      2017 Research-status Report
  • [Presentation] 距離独立集合問題に対する近似アルゴリズムの実験的評価2017

    • Author(s)
      肘井 雅春, 柳 植竜, 宮野 英次, 斎藤 寿樹
    • Organizer
      第70回連合大会 電気・情報関係学会九州支部連合大会(平成29年度)
    • Related Report
      2017 Research-status Report
  • [Presentation] Subgraph Enumeration Algorithms by ZDDs and Its Applications2017

    • Author(s)
      Toshiki Saitoh
    • Organizer
      Robotics and Computer Science
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] ペグソリティアとフォーティーワンの高速な解の数え上げ2017

    • Author(s)
      兼本 樹, 斎藤 寿樹, 上原隆平
    • Organizer
      組合せゲーム・パズル研究集会
    • Place of Presentation
      名古屋大学(愛知県名古屋市)
    • Related Report
      2016 Research-status Report
  • [Presentation] 木における1ラウンドボロノイゲームの後手の戦略2017

    • Author(s)
      杉本 晃弘,斎藤 寿樹
    • Organizer
      組合せゲーム・パズル研究集会
    • Place of Presentation
      名古屋大学(愛知県名古屋市)
    • Related Report
      2016 Research-status Report
  • [Presentation] 区間データに対する出力サイズ依存・省領域アルゴリズム2016

    • Author(s)
      斎藤 寿樹
    • Organizer
      電気関係学会関西連合大会
    • Place of Presentation
      大阪府立大学(大阪府堺市)
    • Year and Date
      2016-11-22
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Solving the Longest Oneway-ticket Problem and Enumerating Letter Graphs by Augmenting the Two Representative Approaches with ZDDs2016

    • Author(s)
      Jun Kawahara, Toshiki Saitoh, Hirofumi Suzuki, and Ryo Yoshinaka
    • Organizer
      Computational Intelligence In Information Systems (CIIS 2016)
    • Place of Presentation
      Universiti Teknologi Brunei (Brunei Darussalam)
    • Year and Date
      2016-11-18
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Computational Complexity of Sequential Token Swapping Problem2016

    • Author(s)
      Katsuhisa Yamanaka, Erik D. Demaine, Takashi Horiyama, Akitoshi Kawamura, Shin-ichi Nakano, Yoshio Okamoto, Toshiki Saitoh, Akira Suzuki, Ryuhei Uehara, Takeaki Uno
    • Organizer
      コンピュテーション研究会
    • Place of Presentation
      石川県教育会館(石川県金沢市)
    • Year and Date
      2016-06-22
    • Related Report
      2016 Research-status Report
  • [Presentation] Ls in L と Sphinxes in Sphinx に対する敷き詰め方の数の下界の改善 - フロンティア法による敷き詰め方の列挙 -2016

    • Author(s)
      兼本 樹, 斎藤 寿樹
    • Organizer
      コンピュテーション研究会
    • Place of Presentation
      石川県教育会館(石川県金沢市)
    • Year and Date
      2016-06-22
    • Related Report
      2016 Research-status Report
  • [Presentation] ゼロサプレス型二分決定グラフによる文字グラフの列挙2016

    • Author(s)
      川原 純, 斎藤 寿樹, 吉仲 亮
    • Organizer
      コンピュテーション研究会
    • Place of Presentation
      石川県教育会館(石川県金沢市)
    • Year and Date
      2016-06-22
    • Related Report
      2016 Research-status Report
  • [Presentation] Experimental enumeration of solutions for peg solitaire2016

    • Author(s)
      Taishi Oikawa, Itsuki Kanemoto, Toshiki Saitoh, Masashi Kiyomi, Ryuhei Uehara
    • Organizer
      アルゴリズム研究会
    • Place of Presentation
      徳島大学(徳島県徳島市)
    • Related Report
      2016 Research-status Report
  • [Presentation] Counting the number of solutions for peg solitaire2016

    • Author(s)
      Itsuki Kanemoto, Toshiki Saitoh, Masashi Kiyomi, Ryuhei Uehara
    • Organizer
      コンピュテーション研究会
    • Place of Presentation
      富山県立大学(富山県射水市)
    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2022-02-22  

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