Approximation Algorithms for Submodular Optimization
Project/Area Number |
23300002
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Research Category |
Grant-in-Aid for Scientific Research (B)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Fundamental theory of informatics
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Research Institution | The University of Tokyo (2012-2015) Kyoto University (2011) |
Principal Investigator |
Iwata Satoru 東京大学, 情報理工学(系)研究科, 教授 (00263161)
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Co-Investigator(Kenkyū-buntansha) |
TAKAZAWA Kenjiro 京都大学, 数理解析研究所, 助教 (10583859)
TANIGAWA Shin-ichi 京都大学, 数理解析研究所, 助教 (30623540)
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Project Period (FY) |
2011-04-01 – 2016-03-31
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Project Status |
Completed (Fiscal Year 2015)
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Budget Amount *help |
¥12,610,000 (Direct Cost: ¥9,700,000、Indirect Cost: ¥2,910,000)
Fiscal Year 2014: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2013: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2012: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2011: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
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Keywords | 離散最適化 / 劣モジュラ関数 / 近似アルゴリズム / NP困難 / ネットワーク / 離散凸性 / 巡回セールスマン問題 / 組合せ剛性理論 |
Outline of Final Research Achievements |
Submodularity is known to be a common structure among various efficiently solvable discrete optimization problems. On the other hand, most discrete optimization problems that arise in practice are NP-hard, and researchers have designed efficient algorithms for finding approximately optimal solutions. Combining these two streams of research in discrete optimization, we have tried to develop a systematic approach to design approximation algorithms for a generic framework of submodular optimization. In particular, we have provided a 1/2-approximation algorithm for maximizing k-submodular functions. We have also designed an approximation algorithm for maximizing monotone k-submodular functions within the ratio of k/2(k-1).
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Report
(5 results)
Research Products
(22 results)
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[Presentation] Graph-TSP from Steiner Cycles2014
Author(s)
Satoru Iwata, Alantha Newman, and R. Ravi
Organizer
40th International Workshop on Graph-Theoretic Concepts in Computer Science
Place of Presentation
Orleans, フランス
Year and Date
2014-06-25 – 2014-06-27
Related Report
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