Development of Complexity Theory for Local Search-type Computation
Project/Area Number |
26540005
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Research Category |
Grant-in-Aid for Challenging Exploratory Research
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Allocation Type | Multi-year Fund |
Research Field |
Theory of informatics
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Research Institution | Nagoya University (2017) Kyushu University (2014-2016) |
Principal Investigator |
Ono Hirotaka 名古屋大学, 情報学研究科, 教授 (00346826)
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Research Collaborator |
Hanaka Tesshu 九州大学, 経済学府, 大学院生
Kiya Hironori 九州大学, 経済学府, 大学院生
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Project Period (FY) |
2014-04-01 – 2018-03-31
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Project Status |
Completed (Fiscal Year 2017)
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Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
Keywords | 局所探索法 / アルゴリズム / 解再構成 / 再最適化 / パラメータ化アルゴリズム / 近似アルゴリズム / 計算複雑度 / 組合せ最適化 / グラフ最適化 / 近傍構造 / パラメータ化計算量 / 最適化 / 固定パラメータアルゴリズム / パラメター化計算量 |
Outline of Final Research Achievements |
Many useful combinatorial optimization problems are known to be NP-hard or APX-hard, which means that they are difficult (probably impossible) to obtain solutions that are guaranteed to be (near) optimal in practical computational time. On the other hand, it is known that there are also good local-search type algorithms that can “usually” find sufficiently good solutions for such problems in practical running time. The goal of this research is to develop “complexity theory of local search algorithms”. We obtain many results about the reconfiguration of combinatorial optimization problems, which is also related to neighborhood operation, and also investigate the problems from the viewpoint of parameterized complexity.
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Report
(5 results)
Research Products
(59 results)
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[Journal Article] On the Maximum Weight Minimal Separator2017
Author(s)
Tesshu Hanaka, Hans L. Bodlaender, Tom C. van der Zanden, Hirotaka Ono
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Journal Title
Theory and Applications of Models of Computation 2017 (TAMC2017), Lecture Notes in Computer Science
Volume: 10185
Pages: 304-318
DOI
ISBN
9783319559100, 9783319559117
Related Report
Peer Reviewed / Int'l Joint Research
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[Journal Article] Linear-Time Algorithm for Sliding Tokens on Trees2015
Author(s)
Erik D Demaine, Martin L Demaine, Eli Fox-Epstein, Duc A Hoang, Takehiro Ito, Hirotaka Ono, Yota Otachi, Ryuhei Uehara, and Takeshi Yamada
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Journal Title
Theoretical Computer Science
Volume: 600
Pages: 132-142
DOI
NAID
Related Report
Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
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[Journal Article] On the Parameterized Complexity for Token Jumping on Graphs2014
Author(s)
Takehiro Ito, Marcin Kaminski, Hirotaka Ono, Akira Suzuki, Ryuhei Uehara, Katsuhisa Yamanaka
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Journal Title
Theory and Applications of Models of Computation, Lecture Notes in Computer Science
Volume: 8402
Pages: 341-351
DOI
NAID
ISBN
9783319060880, 9783319060897
Related Report
Peer Reviewed / Acknowledgement Compliant
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[Journal Article] Polynomial-Time Algorithm for Sliding Tokens on Trees2014
Author(s)
Erik D. Demaine, Martin L. Demaine, Eli Fox-Epstein, Duc A. Hoang, Takehiro Ito, Hirotaka Ono, Yota Otachi, Ryuhei Uehara, Takeshi Yamada
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Journal Title
Lecture Notes in Computer Science
Volume: 8889
Pages: 389-400
DOI
NAID
ISBN
9783319130743, 9783319130750
Related Report
Peer Reviewed / Acknowledgement Compliant
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[Presentation] 三角形総個数最大化問題2017
Author(s)
西島歩美,江藤宏,土中哲秀,宮野英次,小野廣隆,大舘陽太,斎藤寿樹,上原隆平,Tom C. van der Zanden
Organizer
日本オペレーションズ・リサーチ学会 九州支部 九州地区における OR 若手研究交流会
Related Report
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[Presentation] The Complexity of Dominating Set Reconfiguration2015
Author(s)
Arash Haddadan, Takehiro Ito, Amer E. Mouawad, Naomi Nishimura, Hirotaka Ono, Akira Suzuki, Youcef Tebbal
Organizer
Algorithms and Data Structures - 14th International Symposium, WADS 2015
Place of Presentation
Victoria, BC, Canada
Year and Date
2015-08-05
Related Report
Int'l Joint Research
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[Presentation] Reconfiguration of Cliques in a Graph2015
Author(s)
Takehiro Ito, Hirotaka Ono, Yota Otachi
Organizer
Theory and Applications of Models of Computation - 12th Annual Conference, TAMC 2015
Place of Presentation
Singapore
Year and Date
2015-05-18
Related Report
Int'l Joint Research
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[Presentation] Polynomial-Time Algorithm for Sliding Tokens on Trees2014
Author(s)
Erik D. Demaine, Martin L. Demaine, Eli Fox-Epstein, Duc A. Hoang, Takehiro Ito, Hirotaka Ono, Yota Otachi, Ryuhei Uehara, Takeshi Yamada
Organizer
Algorithms and Computation - 25th International Symposium, ISAAC 2014
Place of Presentation
Jeonju, Korea
Year and Date
2014-12-15 – 2014-12-17
Related Report
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