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Research on parameterized graph algorithms

Research Project

Project/Area Number 21500007
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionThe University of Electro-Communications

Principal Investigator

TAKENAGA Yasuhiko  電気通信大学, 大学院・情報理工学研究科, 准教授 (20236491)

Project Period (FY) 2009 – 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: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywordsアルゴリズム / グラフ / 計算量 / パラメータ化計算量 / 頂点彩色問題
Research Abstract

We have developed fixed-parameter algorithms or proved the hardness of vertex coloring problems on parameterized graphs obtained by adding or deleting edges from graphs in classes such as comparability graphs, permutation graphs and grid graphs. We have also developed a fixed-parameter algorithm for isomorphism of tree+ ke graphs. In addition, we have clarified the property of problems and parameterized graph classes which makes it possible to design fixed-parameter algorithms.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (9 results)

All 2012 2010

All Presentation (9 results)

  • [Presentation] パラメータ化permutationグラフの頂点彩色問題2012

    • Author(s)
      小寺諒、武永康彦
    • Organizer
      電子情報通信学会総合大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2012-03-21
    • Related Report
      2011 Annual Research Report 2011 Final Research Report
  • [Presentation] 木+ keグラフの同型性判定問題2012

    • Author(s)
      上野豊、武永康彦
    • Organizer
      電子情報通信学会総合大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2012-03-21
    • Related Report
      2011 Final Research Report
  • [Presentation] 木+keグラフの同型性判定問題2012

    • Author(s)
      上野豊
    • Organizer
      電子情報通信学会総合大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2012-03-21
    • Related Report
      2011 Annual Research Report
  • [Presentation] 比較可能-keグラフの頂点彩色問題のパラメータ化計算量2012

    • Author(s)
      斉藤惇、武永康彦
    • Organizer
      電子情報通信学会コンピュテーション研究会技術研究報告
    • Place of Presentation
      東京大学
    • Year and Date
      2012-03-16
    • Related Report
      2011 Final Research Report
  • [Presentation] 比較可能-keグラフの頂点彩色問題のパラメータ化計算量2012

    • Author(s)
      斉藤惇
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      東京大学
    • Year and Date
      2012-03-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] Precoloring Extension on Grid Graphs2010

    • Author(s)
      Yasuhiko Takenaga and Akihiro Yamada
    • Organizer
      The China-Japan Joint Conference on Computation Geometry
    • Place of Presentation
      大連海事大学
    • Year and Date
      2010-11-04
    • Related Report
      2011 Final Research Report
  • [Presentation] Precoloring Extension on Grid Graphs2010

    • Author(s)
      Yasuhiko Takenaga
    • Organizer
      The China-Japan Joint Conference on Computation Geo metry, Graphs and Applications
    • Place of Presentation
      大連海事大学
    • Year and Date
      2010-11-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] パラメータ化グラフに対するFixed-Parameterアルゴリズムの設計手法2010

    • Author(s)
      岩永耕平、武永康彦
    • Organizer
      電子情報通信学会総合大会
    • Place of Presentation
      東北大学
    • Year and Date
      2010-03-18
    • Related Report
      2011 Final Research Report
  • [Presentation] パラメータ化グラフに対する Fixed-Parameter アルゴリズムの設計手法2010

    • Author(s)
      岩永耕平, 武永康彦
    • Organizer
      電子情報通信学会総合大会
    • Place of Presentation
      東北大学 (宮城県)
    • Year and Date
      2010-03-18
    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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