Elucidation of comptational limit of threshold circuit with restricted energy

• Project/Area Number: 26730001
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Theory of informatics
• Research Institution: Tohoku University
• Principal Investigator: SUZUKI Akira 東北大学, 情報科学研究科, 助教 (10723562)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Project Status: Completed (Fiscal Year 2016)
• Budget Amount: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000); Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
• Keywords: エネルギー複雑度 / しきい値回路 / トレードオフ

Outline of Final Research Achievements

The main results of this research are the following two:
Result 1. We give the constructions of energy-efficient threshold circuits computing generalized symmetric functions. In addition, our constructions improve the size of threshold circuit exponentially, compared with known ones.
Result 2. We show the optimality of our constructions. By this result, we show that the construction we give in Result 1 is optimal, that is, no one can construct with smaller number of gates than our construction.

Research Products

• [Journal Article] On the parameterized complexity of reconfiguration problems (2017)
  • Author(s): Amer E. Mouawad, Naomi Nishimura, Venkatesh Raman, Narges Simjour and Akira Suzuki
  • Journal Title: Algorithmica Volume: Vol. 78, Issue 1 Issue: 1 Pages: 274-297
  • DOI: 10.1007/s00453-016-0159-2
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Hitori numbers (2017)
  • Author(s): Akira Suzuki, Masashi Kiyomi, Yota Otachi, Kei Uchizawa and Takeaki Uno
  • Journal Title: Journal of Information Processing (JIP) Volume: 印刷中
  • NAID: 130005990920
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Complexity of tiling a polygon with trominoes or bars (2017)
  • Author(s): Takashi Horiyama, Takehiro Ito, Keita Nakatsuka, Akira Suzuki and Ryuhei Uehara
  • Journal Title: Discrete & Computational Geometry (DCG) Volume: 印刷中
  • NAID: 120006457371
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] The Complexity of Dominating Set Reconfiguration (2016)
  • Author(s): Arash Haddadan, Takehiro Ito, Amer E. Mouawad, Naomi Nishimura, Hirotaka Ono, Akira Suzuki, Youcef Tebbal
  • Journal Title: Theoretical Computer Science Volume: 651 Pages: 37-49
  • DOI: 10.1016/j.tcs.2016.08.016
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Reconfiguration of dominating sets (2016)
  • Author(s): Akira Suzuki, Amer E. Mouawad and Naomi Nishimura
  • Journal Title: Journal of Combinatorial Optimization (JOCO) Volume: Vol. 32, Issue 4 Issue: 4 Pages: 1182-1195
  • DOI: 10.1007/s10878-015-9947-x
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Reconfiguration of Dominating Sets (2016)
  • Author(s): Akira Suzuki, Amer E. Mouawad and Naomi Nishimura
  • Journal Title: Journal of Combinatorial Optimization (JOCO) Volume: 印刷中
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Swapping Labeled Tokens on Graphs (2015)
  • Author(s): Katsuhisa Yamanaka, Erik D. Demaine, Takehiro Ito, Jun Kawahara, Masashi Kiyomi, Yoshio Okamoto, Toshiki Saitoh, Akira Suzuki, Kei Uchizawa, Takeaki Uno
  • Journal Title: Theoretical Computer Science Volume: 印刷中 Pages: 81-94
  • DOI: 10.1016/j.tcs.2015.01.052
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Experimental Evaluations of Dynamic Algorithm for Maintaining Shortest-Paths Trees on Real-World Networks (2015)
  • Author(s): Takashi Hasegawa, Takehiro Ito, Akira Suzuki, Xiao Zhou
  • Journal Title: Interdisciplinary Information Sciences Volume: 21 Issue: 1 Pages: 25-35
  • DOI: 10.4036/iis.2015.25
  • NAID: 110009890454
  • ISSN: 1340-9050, 1347-6157
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Swapping labeled tokens on graphs (2015)
  • Author(s): Katsuhisa Yamanaka, Erik D. Demaine, Takehiro Ito, Jun Kawahara, Masashi Kiyomi, Yoshio Okamoto, Toshiki Saitoh, Akira Suzuki, Kei Uchizawa and Takeaki Uno
  • Journal Title: Theoretical Computer Science Volume: 印刷中
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Presentation] The complexity of (list) edge-coloring reconfiguration problem (2017)
  • Author(s): Hiroki Osawa, Akira Suzuki, Takehiro Ito and Xiao Zhou
  • Organizer: the 11th International Conference and Workshops on Algorithms and Computation (WALCOM 2017)
  • Place of Presentation: 新竹市，台湾
  • Year and Date: 2017-03-29
  • Int'l Joint Research
• [Presentation] Sequentially swapping colored tokens on graphs (2017)
  • Author(s): Katsuhisa Yamanaka, Erik D. Demaine, Takashi Horiyama, Akitoshi Kawamura, Shin-Ichi Nakano, Yoshio Okamoto, Toshiki Saitoh, Akira Suzuki, Ryuhei Uehara and Takeaki Uno
  • Organizer: the 11th International Conference and Workshops on Algorithms and Computation (WALCOM 2017)
  • Place of Presentation: 新竹市，台湾
  • Year and Date: 2017-03-29
  • Int'l Joint Research
• [Presentation] Reduction tools on NCL (2017)
  • Author(s): Akira Suzuki
  • Organizer: Banff International Research Station, Combinatorial Reconfiguration (17w5066)
  • Place of Presentation: バンフ，カナダ
  • Year and Date: 2017-01-22
• [Presentation] The multi-service center decision problem is NP-complete for split graphs (2016)
  • Author(s): Toshimitsu Anzai, Takehiro Ito, Akira Suzuki and Xiao Zhou
  • Organizer: The 2016 International Conference on Applied and Engineering Mathematics (AEM 2016)
  • Place of Presentation: 上海，中国
  • Year and Date: 2016-10-21
  • Int'l Joint Research
• [Presentation] Algorithm for the Generalized Coloring Reconfiguration Problem (2016)
  • Author(s): Hiroki Osawa, Akira Suzuki, Takehiro Ito, Xiao Zhou
  • Organizer: 情報処理学会アルゴリズム研究会 (SIGAL)
  • Place of Presentation: 宮城県仙台市
  • Year and Date: 2016-01-21
• [Presentation] Computational Complexity of Competitive Diffusion on (Un)weighted Graphs (2015)
  • Author(s): Takehiro Ito, Yota Otachi, Toshiki Saitoh, Hisayuki Satoh, Akira Suzuki, Kei Uchizawa, Ryuhei Uehara, Katsuhisa Yamanaka and Xiao Zhou
  • Organizer: 情報処理学会アルゴリズム研究会 (SIGAL)
  • Place of Presentation: 九州大学（福岡県福岡市）
  • Year and Date: 2015-09-28
• [Presentation] The complexity of dominating set reconfiguration (2015)
  • Author(s): Arash Haddadan, Takehiro Ito, Amer E. Mouawad, Naomi Nishimura, Hirotaka Ono, Akira Suzuki and Youcef Tebbal
  • Organizer: the 14th Algorithms and Data Structures Symposium (WADS 2015)
  • Place of Presentation: ビクトリア大学（カナダ・ビクトリア）
  • Year and Date: 2015-08-05
  • Int'l Joint Research
• [Presentation] Competitive diffusion on weighted graphs (2015)
  • Author(s): Takehiro Ito, Yota Otachi, Toshiki Saitoh, Hisayuki Satoh, Akira Suzuki, Kei Uchizawa, Ryuhei Uehara, Katsuhisa Yamanaka and Xiao Zhou
  • Organizer: the 14th Algorithms and Data Structures Symposium (WADS 2015)
  • Place of Presentation: ビクトリア大学（カナダ・ビクトリア）
  • Year and Date: 2015-08-05
  • Int'l Joint Research
• [Presentation] Algorithms for maintaining shortest-paths trees on real-world networks (2015)
  • Author(s): Akira Suzuki
  • Organizer: Data Science in Life Science and Engineering Collaboration and Symposium
  • Place of Presentation: Case Western Reserve University（アメリカ・オハイオ州・クリーブランド）
  • Year and Date: 2015-07-29
  • Int'l Joint Research / Invited
• [Presentation] 支配集合遷移問題に対するアルゴリズム (2015)
  • Author(s): Arash Haddadan，伊藤 健洋，Amer E. Mouawad，Naomi Nishimura，小野 廣隆，鈴木 顕，Youcef Tebbal
  • Organizer: コンピュテーション研究会 (COMP) - 電子情報通信学会
  • Place of Presentation: 東北大学（宮城県仙台市）
  • Year and Date: 2015-04-23
• [Presentation] Reconfiguration of dominating sets (2014)
  • Author(s): Akira Suzuki, Amer E. Mouawad and Naomi Nishimura
  • Organizer: the 20th International Computing and Combinatorics Conference
  • Place of Presentation: アメリカ・ジョージア州・アトランタ
  • Year and Date: 2014-08-05
• [Presentation] Swapping labeled tokens on graphs (2014)
  • Author(s): Katsuhisa Yamanaka, Erik D. Demaine, Takehiro Ito, Jun Kawahara, Masashi Kiyomi, Yoshio Okamoto, Toshiki Saitoh, Akira Suzuki, Kei Uchizawa and Takeaki Uno
  • Organizer: the 7th International Conference on FUN with Algorithms
  • Place of Presentation: イタリア・シチリア・リーパリ島
  • Year and Date: 2014-07-02
• [Presentation] FPT algorithms for Token Jumping on Graphs (2014)
  • Author(s): 伊藤 健洋，Marcin Kamiński，小野 廣隆，鈴木 顕，上原 隆平，山中 克久
  • Organizer: アルゴリズム研究会 - 情報処理学会
  • Place of Presentation: 愛媛県松山市
  • Year and Date: 2014-06-13
• [Presentation] グラフ上のラベル付きトークン整列問題 (2014)
  • Author(s): 山中 克久，エリック ドメイン，伊藤 健洋，川原 純，清見 礼，岡本 吉央，斎藤 寿樹，鈴木 顕，内澤 啓，宇野 毅明
  • Organizer: コンピュテーション研究会 - 電子情報通信学会
  • Place of Presentation: 宮城県仙台市
  • Year and Date: 2014-04-24
• [Presentation] 支配集合の遷移可能性 (2014)
  • Author(s): 鈴木 顕，Amer E. Mouawad，Naomi Nishimura
  • Organizer: コンピュテーション研究会 - 電子情報通信学会
  • Place of Presentation: 宮城県仙台市
  • Year and Date: 2014-04-24
• [Remarks] Akira Suzuki's Web Site
  • URL: http://www.ecei.tohoku.ac.jp/alg/suzuki/
• [Remarks] 東北大学 大学院情報科学研究科 -- Graduate School of
  • URL: http://www.is.tohoku.ac.jp/detail/suzuki141210.html
• [Remarks] 東北大学 大学院情報科学研究科 -- Graduate School of
  • URL: http://www.is.tohoku.ac.jp/detail/suzuki150216.html