2015 Fiscal Year Final Research Report
Approximation algorithms based on the iterative rounding method
Project/Area Number |
25730008
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Mathematical informatics
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Research Institution | National Institute of Informatics |
Principal Investigator |
Fukunaga Takuro 国立情報学研究所, ビックデータ数理国際研究センター, 特任准教授 (60452314)
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Project Period (FY) |
2013-04-01 – 2016-03-31
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Keywords | 反復丸め法 / ネットワークアクティベーション / グラフ被覆問題 / ターミナルバックアップ問題 / 連結支配集合 / ネットワーク設計 / 近似アルゴリズム |
Outline of Final Research Achievements |
We studied the iterative rounding method, which is known as a framework for designing approximation algorithms to combinatorial optimization problems. We found a new idea on the formulation of a linear programming relaxation of the network activation problem and the several node-weighted graph covering problems, based on which we gave new approximation algorithms for these problems. Moreover, for the generalized terminal backup problem, we presented a new approximation algorithm, that outperforms the previously known best approximation algorithm based on the iterative rounding method. Furthermore, we considered the k-connected m-dominating set problem on unit disk graphs, which have applications in wireless ad hoc networks. We presented a new constant-approximation algorithm for this problem.
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Free Research Field |
組合せ最適化
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