2012 Fiscal Year Final Research Report
A Study of Reconfiguration Problems to Develop Dynamic Systems
| Project/Area Number |
22700001
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Fundamental theory of informatics
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| Research Institution | Tohoku University |
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Principal Investigator |
ITO Takehiro 東北大学, 大学院・情報科学研究科, 准教授 (40431548)
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| Project Period (FY) |
2010 – 2012
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| Keywords | アルゴリズム理論 |
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| Research Abstract |
In this research, we study problems of finding a step-by-step transformation between two feasible solutions of a problem such that all intermediate results are also feasible. In particular, we study such problems for knapsack problem, which is one of the most fundamental problems in theoretical computer science, and for graph partitioning problem with supply and demand, which has some applications to power delivery network. We first analyzed the computational hardness of these problems, and then gave approximationalgorithms. Our approximation algorithms are best possible from the viewpoint of approximation ratio.
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