Research on Algorithms for Random Generation of Discrete Objects

• Project/Area Number: 20740056
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Kyoto University
• Principal Investigator: KIJIMA Shuji Kyoto University, システム情報科学研究院, 准教授 (70452307)
• Project Period (FY): 2008 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000); Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
• Keywords: 応用数学 / アルゴリズム / 確率論 / マルコフ連鎖 / グラフ論 / 離散数学 / 乱択アルゴリズム / マルコフ連鎖モンテカルロ法 / 列挙 / コーダルグラフ / 分配束

Research Abstract

This research is concerned with algorithms for random sampling of combinatorial objects. From a computational complexity theoretical viewpoint, this research tries to figure out whether polynomial time algorithms exist for several objects. For chorda graph sandwiches, queuing networks, ideals of partially ordered sets, Tutte polynomials etc, we obtained some computational complexity results on polynomial time algorithms and impossibility.

Research Products

• [Journal Article] A polynomial-time perfect sampler for the Q-Ising with a vertex-independent noise (2011)
  • Author(s): Masaki Yamamoto, Shuji Kijima, Yasuko Matsui
  • Journal Title: Journal of Combinatorial Optimization
  • NAID: 110007338415
  • Peer Reviewed
• [Journal Article] On listing, sampling, and counting the chordal graphs with edge constraints (2010)
  • Author(s): Shuji Kijima, Masashi Kiyomi, Yoshio Okamoto, Takeaki Uno
  • Journal Title: Theoretical Computer Science 411-(26-28) Pages: 2591-2601
  • Peer Reviewed
• [Journal Article] Pattern formation through optimum matching by CORDA oblivious robots (2010)
  • Author(s): Nao Fujinaga, Hirotaka Ono, Shujji Kijima, Masafumi Yamashita
  • Journal Title: Lecture Notes in Computer Science 6490 Pages: 1-15
  • Peer Reviewed
• [Journal Article] Upper and lower bounds of space complexity of self-stabilizing leader election in mediated population protocol (2010)
  • Author(s): Ryu Mizoguchi, Hirotaka Ono, Shuji Kijima, Masafumi Yamashita
  • Journal Title: Lecture Notes in Computer Science 6490 Pages: 491-503
  • Peer Reviewed
• [Journal Article] On listing, sampling, and counting the chordal graphs with edge constraints (2010)
  • Author(s): Shuji Kijima, Masashi Kiyomi, Yoshio Okamoto, Takeaki Uno
  • Journal Title: Theoretical Computer Science Volume: 411-(26-28) Pages: 2591-2601
  • Peer Reviewed
• [Journal Article] Pattern formation through optimum matching by CORDA oblivious robots (2010)
  • Author(s): Nao Fujinaga, Hirotaka Ono, Shuji Kijima, Masafumi Yamashita
  • Journal Title: Lecture Notes in Computer Science Volume: 6490 Pages: 1-15
  • Peer Reviewed
• [Journal Article] Upper and lower bounds of space complexity of self-stabilizing leader election in mediated population protocol (2010)
  • Author(s): Ryu Mizoguchi, Hirotaka Ono, Shuji Kijima, Masafumi Yamashita
  • Journal Title: Lecture Notes in Computer Science Volume: 6490 Pages: 491-503
  • Peer Reviewed
• [Journal Article] On listing, sampling, and counting the chordal graphs with edge constraints (2010)
  • Author(s): S.Kijima, M.Kiyomi, Y.Okamoto, T.Uno
  • Journal Title: Theoretical Computer Science (掲載確定)
  • Peer Reviewed
• [Journal Article] A polynomial-time perfect sampler for the Q-Ising with a vertex-independent noise (2009)
  • Author(s): M.Yamamoto, S.Kijima, Y.Matsui
  • Journal Title: Lecture Notes in Computer Science 5609 Pages: 328-337
  • NAID: 110007338415
  • Peer Reviewed
• [Journal Article] Approximation algorithm and perfect sampler for closed Jackson networks with single servers (2008)
  • Author(s): Shuji Kijima, Tomomi Matsui
  • Journal Title: SIAM Journal on Computing 38-4 Pages: 1484-1503
  • Peer Reviewed
• [Journal Article] Approximation algorithm and perfect sampler for closed Jackson networks with single servers (2008)
  • Author(s): S. Kijima and T. Matsui
  • Journal Title: SIAM Journal on Computing 38-4 Pages: 1484-1503
  • Peer Reviewed
• [Journal Article] A polynomial-time perfect sampler for the Q-lsing with a vertex-independent noise
  • Author(s): Masaki Yamamoto, Shuji Kijima, Yasuko Matsui
  • Journal Title: Journal of Combinatorial Optimization, to appear
  • Peer Reviewed
• [Presentation] Online prediction over permutahedron (2011)
  • Author(s): Shota Yasutake, Kohei Hatano, Shuji Ki.jima, Eiji Takimoto, MasayukiTakeda
  • Organizer: 第134回アルゴリズム研究会
  • Place of Presentation: 琉球大学
  • Year and Date: 2011-03-07
• [Presentation] Approximating thepath-distance-width fork-cocomparability graphs (2011)
  • Author(s): 大舘陽太, 斎藤寿樹, 山中克久, 来嶋秀治, 岡本吉央, 小野廣隆, 宇野裕之, 山崎浩一
  • Organizer: 2010年度冬のLAシンポジウム
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2011-02-20
• [Presentation] Approximating the path-distance-width for k-cocomparability graphs (2011)
  • Author(s): 大舘陽太, 斎藤寿樹, 山中克久, 来嶋秀治, 岡本吉央, 小野廣隆, 宇野裕之, 山崎浩一
  • Organizer: 2010年度 冬のLAシンポジウム
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2011-02-02
• [Presentation] How slow, or fast, are standard random walks?-analyses of hitting and cover times on tree (2011)
  • Author(s): Yoshiaki Nonaka, Hirotaka Ono, Shuji Kijima, Masafumi Yamashita
  • Organizer: The 17th Computing: the Australasian Theory Symposium(CATS2011)
  • Place of Presentation: Perth, Australia
  • Year and Date: 2011-01-19
• [Presentation] How slow, or fast, are standard random walks? --analyses of hitting and cover times on tree (2011)
  • Author(s): Yoshiaki Nonaka, Hirotaka Ono, Shuji Kijima, Masafumi Yamashita
  • Organizer: The 17th Computing : the Australasian Theory Symposium
  • Place of Presentation: Perth, Australia
  • Year and Date: 2011-01-19
• [Presentation] グラフクラスと部分グラフ同型性 (2010)
  • Author(s): 斎藤寿樹, 大舘陽太, 来嶋秀治, 宇野毅明
  • Organizer: 第132回アルゴリズム研究会
  • Place of Presentation: 関西大学先端科学技術推進機構
  • Year and Date: 2010-11-19
• [Presentation] グラフクラスと部分グラフ同型性 (2010)
  • Author(s): 斎藤寿樹, 大舘陽太, 来嶋秀治, 宇野毅明
  • Organizer: 第132回アルゴリズム研究会
  • Place of Presentation: 関西大学
  • Year and Date: 2010-11-19
• [Presentation] Computational experiments of perfect sampling algorithms for two-way contingency tables (2010)
  • Author(s): Rye Nakatsubo, Shuji Kijima, Tomomi Matsui
  • Organizer: International Conference OPERATIONS RESEARCH (MUNICH 2010)
  • Place of Presentation: Universitat der Bundeswehr Munchen, Germany
  • Year and Date: 2010-09-02
• [Presentation] Computational experiments of perfect sampling algorithms for two-way contingency tables (2010)
  • Author(s): Ryo Nakatsubo, Shuji Kijima, Tomomi Matsui
  • Organizer: International Conference OPERATIONS RESEARCH
  • Place of Presentation: Universitat der Bundeswehr Munchen, Germany
  • Year and Date: 2010-09-02
• [Presentation] Counting the number of dominating sets in graph classes (2010)
  • Author(s): Shuji Kijima Yoshio Okamoto, Takeaki Uno
  • Organizer: The 13th Japan-Korea Joint Workshop on Algorithms and Computation(WAAC 2010)
  • Place of Presentation: Kanazawa Culture Hall, Kanazawa, Tshikawa, Japan
  • Year and Date: 2010-07-23
• [Presentation] Counting the number of dominating sets in graph classes (2010)
  • Author(s): Shuji Kijima, Yoshio Okamoto, Takeaki Uno
  • Organizer: The 13th Japan-Korea Joint Workshop on Algorithms and Computation
  • Place of Presentation: Kanazawa Culture Hall
  • Year and Date: 2010-07-23
• [Presentation] 支配集合数え上げ問題とグラフクラス (2010)
  • Author(s): 来嶋秀治, 岡本吉央, 宇野毅明
  • Organizer: 日本応用数理学会2010年研究部会連合発表会, 離散システム研究部会
  • Place of Presentation: 筑波大学
  • Year and Date: 2010-03-08
• [Presentation] 支配集合数え上げ問題とグラフクラス (2010)
  • Author(s): 来嶋秀治, 岡本吉央, 宇野毅明
  • Organizer: 日本応用数理学会 2010年 研究部会 連合発表会
  • Place of Presentation: 筑波大学
  • Year and Date: 2010-03-08
• [Presentation] 対数優/劣モジュラ分布からのサンプリング (2010)
  • Author(s): 来嶋秀治
  • Organizer: 2009年度冬のLAシンポジウム
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2010-02-03
• [Presentation] 対数優/劣モジュラ分布からのサンプリング (2010)
  • Author(s): 来嶋秀治
  • Organizer: 2009年度冬のLAシンポジウム
  • Place of Presentation: 京都大学
  • Year and Date: 2010-02-03
• [Presentation] Randomized approximateion for generalized median stable matching (2009)
  • Author(s): S.Kijima, T.Nemoto
  • Organizer: ISMP 2009
  • Place of Presentation: Chicago, USA
  • Year and Date: 2009-08-24
• [Presentation] 一般化メディアン安定結婚問題に対する乱択近似アルゴリズム (2008)
  • Author(s): 来嶋秀治, 根本俊男
  • Organizer: 情報処理学アルゴリズム研究会第120回研究会
  • Place of Presentation: 大阪大学医学部学友会館・医療情報センター(銀杏会館)
  • Year and Date: 2008-11-07
• [Presentation] 一般化メディアン安定結婚問題に対する乱択近似アルゴリズム (2008)
  • Author(s): 来嶋秀治
  • Organizer: 日本オペレーションズリサーチ学会「計算と最適化」研究部会第13回研究会
  • Place of Presentation: 公立大学法人首都大学東京秋葉原サテライトキャンパス
  • Year and Date: 2008-11-01
• [Presentation] Enumeration of graph sandwiches[invited talk] (2008)
  • Author(s): Shoji Kijima
  • Organizer: Acceleration and Visualization of Computation for Enumeration Problems
  • Place of Presentation: Kyoto RIMS, Japan
  • Year and Date: 2008-09-29
• [Presentation] Enumeration of graph sandwiches (2008)
  • Author(s): S. Kijima
  • Organizer: Acceleration and Visualization of Computation for Enumeration Problems
  • Place of Presentation: RIMS, KyoM, Japan(inirited talk)
  • Year and Date: 2008-09-29
• [Presentation] 列挙, 数え上げ, ランダム生成 (2008)
  • Author(s): 来嶋秀治
  • Organizer: FIT2008第7回情報科学技術フォーラム, イベント企画:データサイエンスで活躍する列挙アルゴリズムー設計技法とその応用一
  • Place of Presentation: 慶鷹義塾大学湘南藤沢キャンパス[招待講演]
  • Year and Date: 2008-09-02
• [Presentation] 列挙, 数え上げ, ランダム生成 (2008)
  • Author(s): 来嶋秀治
  • Organizer: FIT2008第7回情報科学技術フォーラム,イベント企画 : データサイエンスで活躍する列挙アルゴリズム-設計技法とその応用-」
  • Place of Presentation: 慶應義塾大学湘南藤沢キャンパス(招待講演)
  • Year and Date: 2008-09-02
• [Presentation] On listing, sampling, and counting the chordal graphs with edge constraints (2008)
  • Author(s): S. Kijima, M. Kiyomi, Y. Okamoto. and T. Uno
  • Organizer: 14th Annual International Coinputing and Combinatorics Confeience (COCOON 2008)
  • Place of Presentation: Dalian, China
  • Year and Date: 2008-06-29
• [Presentation] 列挙, 数え上げ, サンプリングのはなし (2008)
  • Author(s): 来嶋秀治
  • Organizer: 第4回組合せ論若手研究集会
  • Place of Presentation: 慶鷹義塾大学[招待講演]
  • Year and Date: 2008-02-06