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Complexity and Algorithms for the Graph Isomorphism Problem

Research Project

Project/Area Number 22700018
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Fundamental theory of informatics
Research InstitutionTottori University of Environmental Studies

Principal Investigator

NAGOYA Takayuki  鳥取環境大学, 環境情報学部, 講師 (90349796)

Project Period (FY) 2010 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywordsグラフ同型性判定問題 / グラフ自己同型性判定問題 / 計算複雑さ / アルゴリズム / 文字認識 / 手書き文字認識
Research Abstract

In this study, we have shown that, for chordal graphs with bounded clique size, the graph isomorphism with restriction, an extension of the graph isomorphism problem, is decidable in polynomial-time. For the same class of graphs, we have designed a faster algorithm to solve the prefix set of GI. We have also developed a linear time algorithm to recover stroke order from static handwritten image by using the subgraph isomorphism problem. A tabu-search based algorithm for the problem has also developed.

Report

(3 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • Research Products

    (9 results)

All 2012 2011

All Journal Article (3 results) (of which Peer Reviewed: 3 results) Presentation (6 results)

  • [Journal Article] Recovering Drawing Order of Single-Stroke Handwritten Images Using Probabilistic Tabu Search2012

    • Author(s)
      Takayuki Nagoya and Hiroyuki Fujioka
    • Journal Title

      Journal of Mobile Multimedia

      Volume: 8 Pages: 73-87

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Recovering Drawing Order of Single-Stroke Handwritten Images Using Probabilistic Tabu Search2012

    • Author(s)
      Takayuki Nagoya, Hiroyuki Fujioka
    • Journal Title

      Journal of Mobile Multimedia

      Volume: VOL.8 Pages: 73-87

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Recovering Stroke Order from Multi-Stroke Character Images2011

    • Author(s)
      H.Fujioka, T.Nagoya
    • Journal Title

      Proc.of the 2nd International Conference on Innovative Computing and Communication and 2nd Asia-Pacific Conference on Information Technology and Ocean Engineering

      Volume: VOL.1 Pages: 34-37

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] A Graph Theoretic Algorithm for Recovering Drawing Order of Multi-Stroke Character Image2011

    • Author(s)
      Takayuki Nagoya and Hiroyuki Fujioka
    • Organizer
      Proc. of the Third International Conference on Intelligent Networking and Collaborative Systems
    • Place of Presentation
      福岡工業大学
    • Year and Date
      2011-12-02
    • Related Report
      2011 Final Research Report
  • [Presentation] A Graph Theoretic Algorithm for Recovering Drawing Order of Multi-Stroke Character Image2011

    • Author(s)
      Takayuki Nagoya
    • Organizer
      Proc.of the Third International Conference on Intelligent Networking and Collaborative Systems
    • Place of Presentation
      福岡工業大学
    • Year and Date
      2011-12-02
    • Related Report
      2011 Annual Research Report
  • [Presentation] Recovering Drawing Order from Static Handwritten Images Using Probabilistic Tabu Search2011

    • Author(s)
      Takayuki Nagoya and Hiroyuki Fujioka
    • Organizer
      Proc. of 2011 IEEE Region 10 Conference
    • Place of Presentation
      バリ,インドネシア
    • Year and Date
      2011-11-24
    • Related Report
      2011 Final Research Report
  • [Presentation] Recovering Drawing Order from Static Handwritten Images Using Probabilistic Tabu Search2011

    • Author(s)
      Takayuki Nagoya
    • Organizer
      Proc.of 2011 IEEE Region 10 Conference
    • Place of Presentation
      バリ、インドネシア
    • Year and Date
      2011-11-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] Recovering Drawing Order from Static Handwritten Images Using Probabilistic Tabu Search2011

    • Author(s)
      名古屋孝幸, 藤岡寛之
    • Organizer
      第10回情報科学技術フォーラム
    • Place of Presentation
      函館大学
    • Year and Date
      2011-09-07
    • Related Report
      2011 Annual Research Report 2011 Final Research Report
  • [Presentation] Recovering Stroke Order from Multi-Stroke Character Images2011

    • Author(s)
      Hiroyuki Fujioka and Takayuki Nagoya
    • Organizer
      Proc. of the 2nd International Conference on Innovative Computing and Communication and 2nd Asia-Pacific Conference on Information Technology and Ocean Engineering
    • Place of Presentation
      マカオ,マカオ
    • Year and Date
      2011-03-06
    • Related Report
      2011 Final Research Report

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Published: 2010-08-23   Modified: 2016-04-21  

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