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2010 Fiscal Year Final Research Report

Efficient Data structures for Plane Graphs

Research Project

  • PDF
Project/Area Number 20500005
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionGunma University

Principal Investigator

NAKANO Shinichi  Gunma University, 大学院・工学研究科, 教授 (30227855)

Project Period (FY) 2008 – 2010
Keywordsアルゴリズム / 平面グラフ
Research Abstract

We have designed several compact data structures to represent some plane structures. Our data structures are compact, simple and support basic queries. Also we can compute the original data from the compact data structure if it is needed.
For instance we have designed a compact binary string to represent unordered trees in which each vertex has at most two children. The length of the binary string is near the theoretical compression bound.

  • Research Products

    (25 results)

All 2011 2010 2009 2008 Other

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (15 results)

  • [Journal Article] Efficient Enumeration of All Ladder Lotteries and Its Application2010

    • Author(s)
      Katsuhisa Yamanaka, Shin-ichi Nakano, Yasuko Matsui, Ryuhei Uehara, Kento Nakada
    • Journal Title

      Theoretical Computer Science Vol.411

      Pages: 1714-1722

    • Peer Reviewed
  • [Journal Article] A Compact Encoding of Plane Triangulations with Efficient Query Support2010

    • Author(s)
      山中克久, 中野眞一
    • Journal Title

      Information Processing Letters Vol.110

      Pages: 803-809

    • Peer Reviewed
  • [Journal Article] 2連結平面グラフのst-numberingの列挙2010

    • Author(s)
      金子昌弘,中野眞一
    • Journal Title

      日本応用数理学会論文誌 Vol.20,no.1

      Pages: 33-44

    • Peer Reviewed
  • [Journal Article] Listing All Plane Graphs2009

    • Author(s)
      山中克久, 中野眞一
    • Journal Title

      JGAA Journal of Graph Algorithms and Applications Vol.13,No.1

      Pages: 5-18

    • Peer Reviewed
  • [Journal Article] A New Approach to Graph Recognition and Applications to Distance Hereditary Graphs2009

    • Author(s)
      Shin-ichi Nakano, Ryuhei Uehara, Takeaki Uno
    • Journal Title

      Journal of Computer Science and Technology Vol.24(3)

      Pages: 517-533

    • Peer Reviewed
  • [Journal Article] A Simple Canonical Code for Fullerene Graphs2009

    • Author(s)
      Naoki Shimotsuma, Shin-ichi Nakano
    • Journal Title

      電子情報通信学会英文論文誌A,IEICE TRANS.FUNDAMENTALS Vol.E92-A,no.12

      Pages: 3398-2400

    • Peer Reviewed
  • [Journal Article] 順列の列挙2008

    • Author(s)
      関根航人,山中克久,中野眞一
    • Journal Title

      電子情報通信学会論文誌A Vol.J91-A,No.5

      Pages: 543-549

    • Peer Reviewed
  • [Journal Article] 指定された次数列をもつグラフの列挙2008

    • Author(s)
      佐藤圭介,中野眞一
    • Journal Title

      電子情報通信学会論文誌A Vol.J91-A,no.7

      Pages: 716-725

    • Peer Reviewed
  • [Journal Article] A Compact Encoding of Rectangular Drawings with Efficient Query Supports2008

    • Author(s)
      山中克久, 中野眞一
    • Journal Title

      電子情報通信学会英文論文誌A,IEICE TRANS.FUNDAMENTALS Vol.E91-A,No.9

      Pages: 2284-2291

    • Peer Reviewed
  • [Journal Article] Efficient Enumeration of Ordered Trees with k leaves

    • Author(s)
      Katsuhisa Yamanaka, Yota Otachi, Shin-Ichi Nakano
    • Journal Title

      Theoretical Computer Science (掲載決定)

    • Peer Reviewed
  • [Presentation] A Compact encoding of Unordered Binary Trees2011

    • Author(s)
      Kozue Iwata, Shiro Ishiwata, Shin-ichi Nakano
    • Organizer
      Proc.of TAMC2011, 8th Annual Conference on Theory and Applications of Models of Computation, LNCS 6648, pp.106-113
    • Place of Presentation
      Tokyo(掲載決定)
    • Year and Date
      20110523-20110525
  • [Presentation] Enumerating All Rooted Trees Including k Leaves2010

    • Author(s)
      石川雅信,山中克久,大舘陽太,中野眞一
    • Organizer
      情報処理学会アルゴリズム研究会2010-AL-131-6
    • Place of Presentation
      函館高専
    • Year and Date
      2010-09-22
  • [Presentation] Efficient Enumeration of All Ladder Lotteries with k Bars2009

    • Author(s)
      山中克久, 中野眞一
    • Organizer
      Proc.of The 7th Japan Conference on Computational Geometry and Graphs, JCCGG2009, pp.63-64
    • Place of Presentation
      Kanazawa
    • Year and Date
      20091111-20091113
  • [Presentation] Enumerating All Graphical Sequences2009

    • Author(s)
      Yosuke Kikuchi, Katsuhisa Yamanaka, Shin-Ichi Nakano
    • Organizer
      Proc.of The 7th Japan Conference on Computational Geometry and Graphs, JCCGG2009, pp.61-62
    • Place of Presentation
      Kanazawa
    • Year and Date
      20091111-20091113
  • [Presentation] A Simple Generation of d-dimensional Partitions2009

    • Author(s)
      Yosuke Kikuchi, Katsuhisa Yamanaka, Shin-Ichi Nakano
    • Organizer
      Proc.of WAAC 2009, 2009 Korea-Japan Joint Workshop on Algorithms and Computation pp.60-67
    • Place of Presentation
      Seoul,Korea
    • Year and Date
      20090704-20090705
  • [Presentation] Efficient Enumeration of All Pseudoline Arrangements2009

    • Author(s)
      Katsuhisa Yamanaka, Shin-Ichi Nakano, Yasuko Matsui, Ryuhei Uehara, Kento Nakada
    • Organizer
      Proc.of EuroCG 2009, pp.143-146
    • Place of Presentation
      Brussels, Belgium
    • Year and Date
      20090316-20090318
  • [Presentation] Efficient Generation of Ordered Trees with n Vertices including k leaves2009

    • Author(s)
      Katsuhisa Yamanaka, Yota Otachi, Shin-Ichi Nakano
    • Organizer
      Proc.of WALCOM 2009, LNCS, 5431, pp.141-150
    • Place of Presentation
      Kolkata,India
    • Year and Date
      20090219-20090220
  • [Presentation] Generating All Triangulations of Plane Graphs2009

    • Author(s)
      Mohammad Tanvir Parvez, Md.Saidur Rahman, Shin-Ichi Nakano
    • Organizer
      Proc.of WALCOM 2009, LNCS, 5431, pp.151-164
    • Place of Presentation
      Kolkata,India
    • Year and Date
      20090219-20090220
  • [Presentation] k本の横線をもつあみだくじの列挙2009

    • Author(s)
      山中克久,中野眞一
    • Organizer
      情報処理学会アルゴリズム研究会2009-AL-126-1
    • Place of Presentation
      鳥取環境大
    • Year and Date
      2009-09-15
  • [Presentation] グラフ的列の列挙2009

    • Author(s)
      菊地洋右,山中克久,中野眞一
    • Organizer
      情報処理学会アルゴリズム研究会2009-AL-126-2
    • Place of Presentation
      鳥取環境大
    • Year and Date
      2009-09-15
  • [Presentation] Listing All st-orientations2009

    • Author(s)
      Andry Setiawan, Shin-Ichi Nakano
    • Organizer
      電子情報通信学会コンピュテーション研究会(COMP2009-16)
    • Place of Presentation
      埼玉大大宮ソニックシティカレッジ
    • Year and Date
      2009-05-26
  • [Presentation] Efficient Enumeration of All Ladder Lotteries2008

    • Author(s)
      Katsuhisa Yamanaka, Shin-Ichi Nakano, Yasuko Matsui, Ryuhei Uehara, Kento Nakada
    • Organizer
      The 20th Workshop on Topological Graph Theory in Yokohama
    • Place of Presentation
      横浜
    • Year and Date
      20081124-20091128
  • [Presentation] Listing All Trees with Specified Degree Sequence2008

    • Author(s)
      中野眞一
    • Organizer
      Kyoto RIMS Workshop on Acceleration and Visualization of Computation for Enumeration Problems
    • Place of Presentation
      京大
    • Year and Date
      20080929-20080930
  • [Presentation] A canonical Coding for Fullerene Graphs2008

    • Author(s)
      下間直樹,中野眞一
    • Organizer
      LAシンポジウム,学生セッション,S6,
    • Place of Presentation
      南紀勝浦
    • Year and Date
      20080712-20080724
  • [Presentation] 2連結平面グラフのst-numberingの列挙2008

    • Author(s)
      金子昌弘,中野眞一
    • Organizer
      LAシンポジウム,学生セッション,S7
    • Place of Presentation
      南紀勝浦
    • Year and Date
      20080712-20080724

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Published: 2012-01-26   Modified: 2016-04-21  

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