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Labeling algorithmfor graphs and digraphs, and its applications to distributed algorithm in networks

Research Project

Project/Area Number 19700001
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Fundamental theory of informatics
Research InstitutionGunma University (2008)
Iwate University (2007)

Principal Investigator

ARAKI Toru  Gunma University, 大学院工学研究科, 准教授 (40361042)

Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥2,010,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥1,100,000 (Direct Cost: ¥1,100,000)
Keywordsグラフアルゴリズム / ラベリング / 組み合わせ最適化 / グラフ理論 / 無線ネットワーク / L(2, 1)ラベリング / 多項式時間アルゴリズム / 有向グラフ / 分散アルゴリズム / L(2,1)ラベリング / NP完全
Research Abstract

グラフのL(2,1)ラベリングと、その一般化についての数学的研究を行った。これは無線ネットワークの周波数割り当て問題を,数学的にモデルかしたものである.その結果として、chain graphやbipartite permutation graphと呼ばれるグラフの最適解、または近似解を求める効率のよいアルゴリズムを設計することができた。これらの結果は、国際会議と学術論文誌に掲載された。

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (8 results)

All 2009 2008 2007 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (1 results) Remarks (3 results)

  • [Journal Article] Labeling bipartite permutation graphs with a condition at distance two2009

    • Author(s)
      T. Araki
    • Journal Title

      Discrete Applied Mathematics vol. 157, no. 8

      Pages: 1677-1686

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Labeling bipartite permutation graphs with a condition at distance two2009

    • Author(s)
      T. Araki
    • Journal Title

      Discrete Applied Mathematics 157

      Pages: 1677-1686

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The k-tuple twin domination in de Bruijn and Kautz digraphs2008

    • Author(s)
      T. Araki
    • Journal Title

      Discrete Mathematics vol. 308

      Pages: 6406-6413

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] L (2,1)-labeling of bipartite permutation graphs2007

    • Author(s)
      Toru Araki
    • Journal Title

      Proceedings of 18^<th> International Workshop on Combinatorial Algorithms

      Pages: 1-10

    • NAID

      110006404225

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] Bipartite permutation graphのL (2,1)ラベリング2007

    • Author(s)
      荒木 徹
    • Organizer
      情報処理学会 アルゴリズム研究会
    • Place of Presentation
      豊橋技術科学大学
    • Year and Date
      2007-09-20
    • Related Report
      2007 Annual Research Report
  • [Remarks] ホームページ

    • URL

      http://www.mais.cs.gunma-u.ac.jp/arakit/

    • Related Report
      2008 Final Research Report
  • [Remarks]

    • URL

      http://dx.doi.org/10.1016/j.dam.2009.02.004

    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://www.mais.cs.gunma-u.ac.jp/arakit/

    • Related Report
      2008 Annual Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

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