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ODA Yoshiaki  小田 芳彰

ORCIDConnect your ORCID iD *help
… Alternative Names

小田 芳彰  オダ ヨシアキ

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Researcher Number 90325043
Other IDs
Affiliation (Current) 2025: 慶應義塾大学, 理工学部(矢上), 准教授
Affiliation (based on the past Project Information) *help 2021: 慶應義塾大学, 理工学部(矢上), 准教授
2016 – 2019: 慶應義塾大学, 理工学部(矢上), 准教授
2009 – 2016: Keio University, 理工学部, 准教授
2008: 慶應義塾大学, 理工学部, 専任講師
2003 – 2008: Keio University, Science and Technology, Lecturer, 理工学部, 講師
2001 – 2002: 島根大学, 総合理工学部, 助手
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Foundations of mathematics/Applied mathematics / Algebra / General mathematics (including Probability theory/Statistical mathematics) / Fundamental theory of informatics
Keywords
Principal Investigator
組合せ論 / 離散数学 / 巡回セールスマン問題 / 計算量理論 / アルゴリズム / 組合せ最適化 / 整数の分割 / 経路問題 / ニュージーランド / 国際情報交換 … More / 多項式時間アルゴリズム / 車両配送問題 / アメリカ : イギリス / 国際研究者交流 / アルゴリズム論 / 計算幾何学 / 応用数学 / ピラミッド型巡回路 / NP … More
Except Principal Investigator
グラフ理論 / Rankin-Selberg / cluttered ordering / RAID / Erasure resilient code / pooling experiment / DNA library screening / Combinatorial designs / マッチング拡張性 / 極値問題 / 国際研究者交流 / 国際情報交換 / マッチング / Hadwiger予想 / グラフマイナー / タフネス / 完全マッチング / 禁止部分グラフ / マイナー / 組合せ論 / 1-平面グラフ / 離散数学 / 辺彩色部分グラフ / サイクル / 疎グラフ / Mellin transform / confluent hypergeometric function / zonal polynomial / Eisenstein seeries / Degenerate principal series / Rankin-Selberg L函数 / Koecher-Maass級数 / Maassリフティング / 退化Whittaker模型 / 合流型超幾何函数 / Zuckerman導来函手加群 / 実解析的Eisenstein級数 / 実解析的Siegel保型形式 / 留数形式 / 半整数重さ / 正規化メリン変換 / 実解析的保型形式 / 斉藤・黒川保型形式 / Rankin-Selber / 一般型メリン変換 / Ge enbauer多項式 / メリン変換 / 合流型超幾何積分 / Zonal多項式 / アイゼンシュタイン級数 / 退化主系列表現 / wrappedρ-labelling / Combinatiorial designs / pooling design / Quorum system / wrapped ρ-labelling / grid design / DNA Library screening / アメリカ:台湾 / 台湾 / アメリカ / 森グラフ / 彩色問題 / シータグラフ / 弦付きサイクル / 安定割当 / 安定マッチング / 安定結婚 / ハンガリー / 配属問題 / アルゴリズム / 戦略的頑健性 / 資源配分問題 / 離散凸解析 / 離散構造 / 離散最適化 / 辺の縮約 / 同型判定 / 多重辺 / 既約三角形分割 / データベース / 染色数 / 閉曲面 / 三角形分割 / 全域木 / 閉曲面上への埋め込み / クローフリーグラフ / 禁止マイナー / グラフ Less
  • Research Projects

    (12 results)
  • Research Products

    (42 results)
  • Co-Researchers

    (22 People)
  •  Development of Extremal Graph Theory for Sparse Graphs

    • Principal Investigator
      Ota Katsuhiro
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Keio University
  •  Deep Studies on Allocation Problems with Discrete Structures

    • Principal Investigator
      Tamura Akihisa
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Fundamental theory of informatics
    • Research Institution
      Keio University
  •  Integrated research of extremal problems on graph factors, minors and subgraphs

    • Principal Investigator
      Ota Katsuhiro
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Special cases of several routing problems and various relaxations of routesPrincipal Investigator

    • Principal Investigator
      ODA YOSHIAKI
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Research on graphs densely embedded on a closed surface

    • Principal Investigator
      OTA Katsuhiro
    • Project Period (FY)
      2011 – 2012
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Special cases of routing problems and their crossingsPrincipal Investigator

    • Principal Investigator
      ODA Yoshiaki
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Research on graphs characterized by forbidden minors

    • Principal Investigator
      OTA Katsuhiro
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Applying some polynomially solvable cases of the traveling salesman problem to the vehicle routing problemPrincipal Investigator

    • Principal Investigator
      ODA Yoshiaki
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Arithmetic of cohomological automorphic representations of orthogonal groups and theta series for indefinite quadratic forms

    • Principal Investigator
      MIYAZAKI Takuya
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  巡回セールスマン問題の多項式時間で解けるクラスへの計算幾何学からの取り組みPrincipal Investigator

    • Principal Investigator
      小田 芳彰
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  巡回セールスマン問題と緩和したピラミッド型巡回路についてPrincipal Investigator

    • Principal Investigator
      小田 芳彰
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Shimane University
  •  Applications of combinatorial designs to information transmission and DNA library screening

    • Principal Investigator
      JIMBO Masakazu
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University

All 2018 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 Other

All Journal Article Presentation

  • [Journal Article] A note on two geometric paths with few crossings for points labeled by integers in the plane2018

    • Author(s)
      A. Nakamoto, Y. Oda, M. Watanabe, T. Yamashita
    • Journal Title

      Discrete Mathematics

      Volume: 341 Pages: 1109-1113

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03952
  • [Journal Article] K_6-minors in triangulations on the nonorientable surface of genus 32010

    • Author(s)
      R. Mukae, A. Nakamoto, Y. Oda, Y. Suzuki
    • Journal Title

      Graphs and Combinatorics

      Volume: 26 Pages: 559-570

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740082
  • [Journal Article] 3-trees with few vertices of degree 3 in circuit graphs2009

    • Author(s)
      A. Nakamoto, Y. Oda, K. Ota
    • Journal Title

      Discrete Mathematics 309

      Pages: 666-672

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340023
  • [Journal Article] 3-trees with few vertices of degree 3 in circuit graphs2009

    • Author(s)
      Atsuhiro Nakamoto, Yoshiaki Oda, KatsuhiroOta
    • Journal Title

      Discrete Mathematics 309

      Pages: 666-672

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Journal Article] 3-trees with few vertices of degree 3 in circuit graphs2009

    • Author(s)
      A. Nakamoto, Y. Oda and K. Ota
    • Journal Title

      Discrete Math

      Volume: 309 Pages: 666-672

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340023
  • [Journal Article] 3-trees with few vertices of degree 3 in circuit graphs2009

    • Author(s)
      Atsuhiro Nakamoto, Yoshiaki Oda, Katsuhiro Ota
    • Journal Title

      Discrete Mathematics 309

      Pages: 666-672

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Journal Article] 3-trees with few vertices of degree 3 in circuit graphs2009

    • Author(s)
      A. Nakamoto, Y. Oda and K. Ota
    • Journal Title

      Discrete Mathematics

      Volume: 309 Pages: 666-672

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740082
  • [Journal Article] The number of flips required to obtain non-crossing convex Cycles2008

    • Author(s)
      Yoshiaki Oda, Mamoru Watanabe
    • Journal Title

      Lecture Notes in Computer Science 4535

      Pages: 155-165

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Journal Article] The number of flips required to obtain non-crossing convex cycles2008

    • Author(s)
      Yoshiaki Oda, Mamoru Watanabe
    • Journal Title

      Lecture Notes in Computer Science 4535

      Pages: 155-165

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Journal Article] K6-minors in triangulations on the double torus2007

    • Author(s)
      Atsuhiro Nakamoto, Yoshiaki Oda, Katsuhiro Ota
    • Journal Title

      Congressus Numerantium 188

      Pages: 150-160

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Journal Article] K_6・minors in triangulations on the double torus

    • Author(s)
      A. Nakamoto, Y. Oda and K. 0ta
    • Journal Title

      Congressus Numerantium (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Journal Article] The number of flips required to obtain non・crossing convex cycles

    • Author(s)
      Y. Oda and M. Watanabe
    • Journal Title

      Lecture Notes in Computer Science (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Presentation] 組合せ論とプログラム ― 禁止部分グラフの高速判定アルゴリズム,離散幾何学の2つの問題2018

    • Author(s)
      小田 芳彰
    • Organizer
      軽井沢グラフと解析研究集会
    • Data Source
      KAKENHI-PROJECT-16H03952
  • [Presentation] 2要素の交換と多重集合のある分割問題について2016

    • Author(s)
      小田 芳彰,山下 登茂紀
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学(滋賀県・大津市)
    • Year and Date
      2016-12-17
    • Data Source
      KAKENHI-PROJECT-16H03952
  • [Presentation] 円順列と連続k-部分列の和の均等性について2015

    • Author(s)
      小田芳彰,中本敦浩,山下登茂紀,渡辺守
    • Organizer
      2015年度応用数学合同研究集会
    • Place of Presentation
      龍谷大学(滋賀県・大津市)
    • Year and Date
      2015-12-19
    • Data Source
      KAKENHI-PROJECT-24540140
  • [Presentation] 円順列の連続するk-部分列の和について2015

    • Author(s)
      小田芳彰,中本敦浩,山下登茂紀,渡辺守
    • Organizer
      第27回位相幾何学的グラフ理論研究集会
    • Place of Presentation
      横浜国立大学(神奈川県・横浜市)
    • Year and Date
      2015-11-13
    • Data Source
      KAKENHI-PROJECT-24540140
  • [Presentation] 2目的の巡回セールスマン問題について2014

    • Author(s)
      Yoshiaki Oda
    • Organizer
      田澤新成先生ご退職記念研究集会
    • Place of Presentation
      近畿大学
    • Data Source
      KAKENHI-PROJECT-24540140
  • [Presentation] 均等2分割の一般化とそれに関連する問題2014

    • Author(s)
      小田芳彰,中本敦浩,山下登茂紀,渡辺守
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学(滋賀県大津市)
    • Year and Date
      2014-12-20
    • Data Source
      KAKENHI-PROJECT-24540140
  • [Presentation] Balanced partitions on permutations and their application to a geometric problem2013

    • Author(s)
      Yoshiaki Oda, Atsuhiro Nakamoto, Mamoru Watanabe and Tomoki Yamashita
    • Organizer
      The 25th Topological Graph Theory
    • Place of Presentation
      Yokohama National University
    • Data Source
      KAKENHI-PROJECT-24540140
  • [Presentation] Balanced partitions on permutations and their application to a geometric problem2013

    • Author(s)
      Tomoki Yamashita, Atsuhiro Nakamoto, Yoshiaki Oda and Mamoru Watanabe
    • Organizer
      日本数学会
    • Place of Presentation
      愛媛大学
    • Data Source
      KAKENHI-PROJECT-24540140
  • [Presentation] 反転に関するいくつかの問題2012

    • Author(s)
      小田芳彰
    • Organizer
      関西グラフ理論研究集会
    • Place of Presentation
      加計国際学術交流センター
    • Year and Date
      2012-03-07
    • Data Source
      KAKENHI-PROJECT-21740082
  • [Presentation] 反転に関するいくつかの問題2012

    • Author(s)
      小田芳彰
    • Organizer
      関西グラフ理論研究集会
    • Place of Presentation
      加計国際学術交流センタ
    • Year and Date
      2012-03-07
    • Data Source
      KAKENHI-PROJECT-21740082
  • [Presentation] 経路問題と計算量-経路問題の多項式時間で解けるクラス2011

    • Author(s)
      小田芳彰
    • Organizer
      研究集会「離散数理構造とその応用」
    • Place of Presentation
      名古屋大学多元数理科学研究科
    • Year and Date
      2011-11-19
    • Data Source
      KAKENHI-PROJECT-21740082
  • [Presentation] 経路問題と計算量-経路問題の多項式時間で解けるクラス2011

    • Author(s)
      小田芳彰
    • Organizer
      離散数理構造とその応用
    • Place of Presentation
      名古屋大学多元数理科学研究科
    • Year and Date
      2011-11-19
    • Data Source
      KAKENHI-PROJECT-21740082
  • [Presentation] 経路問題と計算量2011

    • Author(s)
      小田芳彰
    • Organizer
      研究集会「離散数理構造とその応用」
    • Place of Presentation
      名古屋大学
    • Year and Date
      2011-11-19
    • Data Source
      KAKENHI-PROJECT-20340023
  • [Presentation] 経路問題と計算量2011

    • Author(s)
      小田芳彰
    • Organizer
      研究集会「離散数理構造とその応用」
    • Place of Presentation
      名古屋大学(invited)
    • Year and Date
      2011-11-19
    • Data Source
      KAKENHI-PROJECT-20340023
  • [Presentation] 複数の倉庫がある車両配送問題の多項式時間で解けるクラス2010

    • Author(s)
      小田芳彰
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2010-12-18
    • Data Source
      KAKENHI-PROJECT-21740082
  • [Presentation] Special cases of the multi-depot vehicle routing problem2010

    • Author(s)
      Yoshiaki Oda
    • Organizer
      The 3^<rd> Pacific Workshop on Discrete Mathematics
    • Place of Presentation
      Tokai University Pacific Center, Hawaii
    • Year and Date
      2010-12-09
    • Data Source
      KAKENHI-PROJECT-21740082
  • [Presentation] Demidenko conditions and the vehicle routing problem2009

    • Author(s)
      Yoshiaki Oda
    • Organizer
      Fortieth Southeastern International Conference on Combintorics, Graph Theory and Computing
    • Place of Presentation
      Florida Atlantic University, Florida, USA
    • Year and Date
      2009-03-05
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Presentation] 経路問題と離散数学2009

    • Author(s)
      小田芳彰
    • Organizer
      日本数学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-24
    • Data Source
      KAKENHI-PROJECT-21740082
  • [Presentation] 経路問題と離散数学2009

    • Author(s)
      小田芳彰
    • Organizer
      日本数学会
    • Place of Presentation
      大阪大学(特別講演)
    • Year and Date
      2009-09-24
    • Data Source
      KAKENHI-PROJECT-20340023
  • [Presentation] Demidenko conditions and the vehicle routing Problem2009

    • Author(s)
      小田芳彰
    • Organizer
      日本数学会2009年度年会応用数学分科会
    • Place of Presentation
      東京大学駒場キャンパス
    • Year and Date
      2009-03-27
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Presentation] 経路問題と離散数学2009

    • Author(s)
      小田芳彰
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-24
    • Data Source
      KAKENHI-PROJECT-21740082
  • [Presentation] Demidenko conditions and the vehicle routing problem2009

    • Author(s)
      小田芳彰
    • Organizer
      日本数学会2009年度年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-27
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Presentation] Demidenko conditions and the vehicle routing problem2009

    • Author(s)
      Yoshiaki Oda
    • Organizer
      The 40th Southeastern International Conference on Combinatorics, Graph Theory and Computing
    • Place of Presentation
      Florida Atlantic University, USA
    • Year and Date
      2009-03-05
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Presentation] Polynomial time solvable classes of the vehicle routing problem2008

    • Author(s)
      小田芳彰
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2008-12-15
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Presentation] Partial constructions of Voronoi diagrams2007

    • Author(s)
      Y. Oda
    • Organizer
      32nd Australasian Conference on Combinatorial Mathematics & Combinatorial Computing
    • Place of Presentation
      University of Otago,Dunedin, NewZealand
    • Year and Date
      2007-12-04
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Presentation] Special cases of the vehicle routing problem2007

    • Author(s)
      Yoshiaki Oda
    • Organizer
      The 38th Southeastern International Conference on Combinatorics, Graph Theory and Computing
    • Place of Presentation
      Florida Atlantic University, USA
    • Year and Date
      2007-03-08
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Presentation] Partial constructions of Voronoi diagrams2007

    • Author(s)
      Yoshiaki Oda
    • Organizer
      The 32nd Australasian Conference on Combinatorial Mathematics and Combinatorial Computing
    • Place of Presentation
      University of Otago, New Zealand
    • Year and Date
      2007-12-04
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Presentation] The number of flips to obtain non-crossing geometric cycles2007

    • Author(s)
      Y. Oda and M. Watanabe
    • Organizer
      Kyoto International Conference on Computational Geometry and Graph Theory 2007
    • Place of Presentation
      Kyoto University,Kyoto, Japan
    • Year and Date
      2007-06-12
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Presentation] 車両配送問題の多項式時間で解けるクラス2006

    • Author(s)
      小田芳彰
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2006-12-22
    • Data Source
      KAKENHI-PROJECT-18740058
  • [Presentation] 車両配送問題の多項式時間で解けるクラスとその計算量

    • Author(s)
      小田芳彰
    • Organizer
      日本応用数理学会
    • Place of Presentation
      稚内全日空ホテル
    • Data Source
      KAKENHI-PROJECT-24540140
  • 1.  OTA Katsuhiro (40213722)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 2 results
  • 2.  TAMURA Akihisa (50217189)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 3.  FUJISAWA Jun (00516099)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  ISHII Ippei (90051929)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  YAMASHITA Tomoki (10410458)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  榎本 彦衛 (00011669)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  NAKAMOTO Atsuhiro (20314445)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 2 results
  • 8.  JIMBO Masakazu (50103049)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  FUJI-HARA Ryoh (30165443)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  MISHIMA Miwako (00283284)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  KURIKI Shinji (00167389)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  MIYAZAKI Takuya (10301409)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  TANAKA Takaaki (60306850)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  HACHIMORI Yoshitaka (50433743)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  南 美穂子 (70277268)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  深谷 太香子 (20365464)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  Fleiner Tamas
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  OZEKI Kenta
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  TSUCHIYA Shoichi
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  NOGUCHI Kenta
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  SAKUMA Tadashi
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  WATANABE MAMORU
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 5 results

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