2015 Fiscal Year Final Research Report
Mathematical Approaches to Reliable Exact Computation and Its Theoretical Guarantee
Project/Area Number |
24700008
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Fundamental theory of informatics
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Research Institution | The University of Electro-Communications |
Principal Investigator |
Okamoto Yoshio 電気通信大学, 情報理工学(系)研究科, 准教授 (00402660)
|
Project Period (FY) |
2012-04-01 – 2016-03-31
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Keywords | アルゴリズム / 計算理論 / 離散数学 |
Outline of Final Research Achievements |
Results on theory of algorithms and computational complexity with exact theoretical guarantees have been obtained, including those below. (1) Relationship among several problems with respect to exponential-time complexity has been revealed, which opened up a new direction in the field. (2) Improvement has been obtained for finding the maximum and the minimum by unreliable comparisons. (3) The labeled token swapping problem has been shown to be NP-complete, 4-approximable for general graphs and 2-approximable for trees.
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Free Research Field |
アルゴリズム
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