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2011 Fiscal Year Final Research Report

Studies on the design of algorithms for reliable networks and its application

Research Project

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Project/Area Number 20700002
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Fundamental theory of informatics
Research InstitutionOtaru University of Commerce

Principal Investigator

ISHII Toshimasa  小樽商科大学, 商学部, 准教授 (30324487)

Project Period (FY) 2008 – 2011
Keywordsアルゴリズム理論 / 離散最適化 / 組合せ最適化 / グラフ理論 / グラフ連結度
Research Abstract

In modern society, we have many networks such as traffic networks and communication networks. It is required that such networks have some fault-tolerance. The concepts of graph connectivity are known as one measure of network fault-tolerance. In this research, we proposed several efficient algorithms for connectivity augmentation problems and source location problems, which are well-known as graph problems concerning connectivity. Also, we generalized these results, which may contribute to the analysis of other problems.

  • Research Products

    (33 results)

All 2012 2011 2010 2009 2008 Other

All Journal Article (14 results) (of which Peer Reviewed: 14 results) Presentation (12 results) Book (3 results) Remarks (4 results)

  • [Journal Article] The (p, q)-total labeling problem for trees2012

    • Author(s)
      Toru Hasunuma, Toshimasa Ishii, Hirotaka Ono, Yushi Uno
    • Journal Title

      Discrete Mathematics

      Volume: vol.312 Pages: 1407-1420

    • DOI

      DOI:10.1016/j.disc.2012.01.007

    • Peer Reviewed
  • [Journal Article] Augmenting outerplanar graphs to meet diameter requirements2012

    • Author(s)
      Toshimasa Ishii
    • Journal Title

      Proceedings of the 18^th Computing Theory : The Australian Theory Symposium

      Pages: 123-132

    • URL

      http://crpit.com/confpapers/CRPITV128Ishii.pdf

    • Peer Reviewed
  • [Journal Article] The (p, q)-total labeling problem for trees2010

    • Author(s)
      Toru Hasunuma, Toshimasa Ishii, Hirotaka Ono, Yushi Uno
    • Journal Title

      Proceedings of the 21th International Symposium on Algorithms and Computation

      Pages: 49-60

    • DOI

      DOI:10.1007/978-3-642-17514-5_5

    • Peer Reviewed
  • [Journal Article] The (2, 1)-total labeling number of outerplanar graphs is at most △+2,2010

    • Author(s)
      Toru Hasunuma, Toshimasa Ishii, Hirotaka Ono, Yushi Uno
    • Journal Title

      Proceedings of the 21th International Workshop on Combinatorial Algorithms

      Pages: 103-106

    • DOI

      DOI:10.1007/978-3-642-19222-7_11

    • Peer Reviewed
  • [Journal Article] Minimum augmentation of edge-connectivity between vertices and sets of vertices in undirected graphs2010

    • Author(s)
      Toshimasa Ishii, Yoko Akiyama, Hiroshi Nagamochi
    • Journal Title

      Algorithmica

      Volume: vol.56 Pages: 413-436

    • DOI

      DOI:10.1007/s00453-008-9178-y

    • Peer Reviewed
  • [Journal Article] Posi-modular systems with modulotone requirements under permutation constraints2010

    • Author(s)
      Toshimasa Ishii, Kazuhisa Makino
    • Journal Title

      Discrete Mathematics, Algorithms and Applications

      Volume: vol.2 Pages: 61-76

    • DOI

      DOI:10.1142/S1793830910000474

    • Peer Reviewed
  • [Journal Article] Posi-modular systems with modulotone requirements under permutation constraints2009

    • Author(s)
      Toshimasa Ishii, Kazuhisa Makino
    • Journal Title

      Proceedings of the 20th International Symposium on Algorithms and Computation

      Pages: 473-482

    • DOI

      DOI:10.1007/978-3-642-10631-6_49

    • Peer Reviewed
  • [Journal Article] Greedy approximation for source location problem with vertex-connectivity requirements in undirected graphs2009

    • Author(s)
      Toshimasa Ishii
    • Journal Title

      Journal of Discrete Algorithms

      Pages: 570-578

    • DOI

      DOI:10.1016/j.jda.2009.06.003

    • Peer Reviewed
  • [Journal Article] An O(n^{1.75}) algorithm for L(2, 1)-labeling of trees2009

    • Author(s)
      Toru Hasunuma, Toshimasa Ishii, Hirotaka Ono, Yushi Uno
    • Journal Title

      Theoretical Computer Science

      Volume: vol.410 Pages: 3702-3710

    • DOI

      DOI:10.1016/j.tcs.2009.04.025

    • Peer Reviewed
  • [Journal Article] A linear time algorithm for L(2, 1)-labeling of trees2009

    • Author(s)
      Toru Hasunuma, Toshimasa Ishii, Hirotaka Ono, Yushi Uno
    • Journal Title

      Proceedings of the 17th Annual European Symposium on Algorithms

      Pages: 35-46

    • DOI

      DOI:10.1007/978-3-642-04128-0_4

    • Peer Reviewed
  • [Journal Article] Minimum augmentation of edge-connectivity with monotone requirements in undirected graphs2009

    • Author(s)
      Toshimasa Ishii
    • Journal Title

      Discrete Optimization

      Volume: vol.6 Pages: 23-36

    • Peer Reviewed
  • [Journal Article] Augmenting edge-connectivity between vertex subsets2009

    • Author(s)
      Toshimasa Ishii, Kazuhisa Makino
    • Journal Title

      Proceedings of the 15^th Computing Theory : The Australian Theory Symposium

      Pages: 45-51

    • Peer Reviewed
  • [Journal Article] An O(n^{1.75}) algorithm for L(2, 1)-labeling of trees2008

    • Author(s)
      Toru Hasunuma, Toshimasa Ishii, Hirotaka Ono, Yushi Uno
    • Journal Title

      Proceedings of the 11th Scandinavian Workshop on Algorithm Theory

      Volume: vol.410 Pages: 185-197

    • DOI

      DOI:10.1007/978-3-540-69903-3_18

    • Peer Reviewed
  • [Journal Article] A tight upper bound on the (2, 1)-total labeling number of outerplanar graphs

    • Author(s)
      Toru Hasunuma, Toshimasa Ishii, Hirotaka Ono, Yushi Uno
    • Journal Title

      Journal of Discrete Algorithms

      Volume: (掲載決定済)

    • DOI

      DOI:10.1016/j.jda.2011.12.020

    • Peer Reviewed
  • [Presentation] The (p, q)-total labeling problem for trees2010

    • Author(s)
      Toshimasa Ishii
    • Organizer
      情報処理学会アルゴリズム研究会
    • Place of Presentation
      関西大学
    • Year and Date
      2010-11-19
  • [Presentation] A tight upper bound on the (2, 1)-total labeling number of outerplanar graphs2010

    • Author(s)
      Toshimasa Ishii
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      立命館大学
    • Year and Date
      2010-04-22
  • [Presentation] Posi-modular systems with modulotone requirements under permutation constraints2009

    • Author(s)
      Toshimasa Ishii
    • Organizer
      情報処理学会アルゴリズム研究会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2009-11-27
  • [Presentation] 木のL (2, 1)-ラベリングに対する線形時間アルゴリズム2009

    • Author(s)
      小野廣隆
    • Organizer
      情報処理学会アルゴリズム研究会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2009-11-27
  • [Presentation] Recent advances on the L(2, 1)-labeling problem2009

    • Author(s)
      Hirotaka Ono
    • Organizer
      The 7th Japan Conference on Computational Geometry and Graphs
    • Place of Presentation
      金沢文化ホール
    • Year and Date
      2009-11-11
  • [Presentation] Augmenting edge-connectivity between vertex subsets2009

    • Author(s)
      Toshimasa Ishii
    • Organizer
      6^th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      Renyi Institute, Budapest, Hungary
    • Year and Date
      2009-05-18
  • [Presentation] A faster algorithm for L(2, 1)-labeling of trees2009

    • Author(s)
      Hirotaka Ono
    • Organizer
      The 2nd Asian Association for Algorithms and Computation Annual Meeting
    • Place of Presentation
      Hangzhou Huajia SHAN Resort, Hangzhou, China
    • Year and Date
      2009-04-11
  • [Presentation] Augmenting edge-connectivity between vertex subsets2008

    • Author(s)
      Toshimasa Ishii
    • Organizer
      情報処理学会アルゴリズム研究会
    • Place of Presentation
      大阪大学
    • Year and Date
      2008-11-07
  • [Presentation] 木のL (2, 1) ラベリングに対する線形時間アルゴリズム2008

    • Author(s)
      小野廣隆
    • Organizer
      日本応用数理学会2008年度年会
    • Place of Presentation
      東京大学
    • Year and Date
      2008-09-17
  • [Presentation] An O(n log^2 n) algorithm for L(2, 1)-labeling of trees2008

    • Author(s)
      小野廣隆
    • Organizer
      日本オペレーションズ・リサーチ学会秋季研究発表会
    • Place of Presentation
      札幌コンベンションセンター
    • Year and Date
      2008-09-11
  • [Presentation] An O(n log^2 n) algorithm for L(2, 1)-labeling of trees2008

    • Author(s)
      小野廣隆
    • Organizer
      FIT2008
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2008-09-03
  • [Presentation] An O(n^{1.75})-time Algorithm for L(2, 1)-labeling of Trees2008

    • Author(s)
      小野廣隆
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      九州産業大学
    • Year and Date
      2008-05-13
  • [Book] 朝倉書店2011

    • Author(s)
      茨木俊秀,片山徹,藤重悟
    • Total Pages
      450-458
    • Publisher
      数理工学事典
  • [Book] 離散数学のすすめ2010

    • Author(s)
      伊藤大雄,宇野裕之
    • Total Pages
      182-196
    • Publisher
      現代数学社
  • [Book] 朝倉書店2010

    • Author(s)
      茨木俊秀,永持仁,石井利昌
    • Total Pages
      76-157, 225-237
    • Publisher
      グラフ理論-連結構造とその応用
  • [Remarks] 1.研究代表者のURL:

    • URL

      http://www.otaru-uc.ac.jp/~ishii/

  • [Remarks] 2.機関リポジトリで公開している論文にアクセスするためのアドレス:

    • URL

      http://barrel.ih.otaru-uc.ac.jp/researcher?action=viewResearcherPage & researcherId=11

  • [Remarks]

    • URL

      http://arxiv.org/abs/0911.4590

  • [Remarks]

    • URL

      http://arxiv.org/abs/0810.0906

URL: 

Published: 2013-07-31  

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