• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Design of algorithms for problems of fault-tolerance of networks

Research Project

Project/Area Number 23500007
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Fundamental theory of informatics
Research InstitutionGunma University

Principal Investigator

ARAKI Toru  群馬大学, 理工学研究院, 准教授 (40361042)

Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywordsアルゴリズム / 情報基礎 / グラフ理論 / ネットワーク / 耐故障性 / グラフアルゴリズム / 支配集合問題 / 全域木 / 完全独立全域木 / 有向グラフ / 局所トーナメント / コーダルグラフ
Research Abstract

In this study, we considered problems of domination in graphs, and the problem of completely independent spanning trees in graphs. It is known that these problems have been related to the problems of fault-tolerance in networks.
First we considered the problems of domination in graphs, and we obtained some polynomial-time algorithms for problems of twin domination in round digraphs and local-tournaments which are well known classes of digraphs.
Second, we considered the problem of completely independent spanning trees. This problem is a model of fault-tolerant routing in networks. We obtain some new sufficient condition of the existence of completely independent spanning trees in graphs.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (9 results)

All 2014 2013 2012 2011 Other

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (6 results) Remarks (1 results)

  • [Journal Article] Twin domination problems in round digraphs2014

    • Author(s)
      Tamaki Nakajima, Yuki Tanaka, Toru Araki
    • Journal Title

      IEICE Transactions on Fundamentals

      Volume: vol.E97-A, no.6

    • NAID

      130004770848

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dirac's condition for completely independent spanning trees2013

    • Author(s)
      Toru Araki
    • Journal Title

      Journal of Graph Theory

      Volume: (掲載決定) Issue: 3 Pages: 171-179

    • DOI

      10.1002/jgt.21780

    • Year and Date
      2013-12-13
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Presentation] 局所完全ダイグラフの独立双方向支配集合について2012

    • Author(s)
      荒木 徹
    • Organizer
      情報処理学会アルゴリズム研究会
    • Place of Presentation
      岩手大学
    • Year and Date
      2012-11-02
    • Related Report
      2013 Final Research Report
  • [Presentation] 区間グラフの向き付けにおける双方向支配2012

    • Author(s)
      原田 高浩, 荒木 徹
    • Organizer
      第11回情報科学技術フォーラム(FIT2012)
    • Place of Presentation
      法政大学
    • Year and Date
      2012-09-05
    • Related Report
      2013 Final Research Report
  • [Presentation] ラウンドダイグラフの双方向支配集合2011

    • Author(s)
      中島 環, 荒木 徹
    • Organizer
      LA シンポジウム
    • Year and Date
      2011-07-20
    • Related Report
      2013 Final Research Report
  • [Presentation] ラウンドダイグラフの双方向支配について2011

    • Author(s)
      中島環,荒木徹
    • Organizer
      LAシンポジウム2011夏
    • Place of Presentation
      ザヴィラ浜名湖(静岡県)
    • Related Report
      2011 Research-status Report
  • [Presentation] 区間グラフの向き付けにおける双方向支配

    • Author(s)
      原田高浩,荒木徹
    • Organizer
      第11回情報科学技術フォーラム(FIT2012)
    • Place of Presentation
      法政大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 局所完全ダイグラフの独立双方向支配集合について

    • Author(s)
      荒木徹
    • Organizer
      情報処理学会アルゴリズム研究会
    • Place of Presentation
      岩手大学
    • Related Report
      2012 Research-status Report
  • [Remarks]

    • URL

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

    • Related Report
      2013 Final Research Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi