2013 Fiscal Year Final Research Report
A study on approximation of isomorphism problems
| Project/Area Number |
24800082
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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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 | National Institute of Informatics |
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Principal Investigator |
YOSHIDA Yuichi 国立情報学研究所, 情報学プリンシプル研究系, 特任助教 (50636967)
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| Project Period (FY) |
2012-08-31 – 2014-03-31
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| Keywords | 同型性判定問題 / 性質検査 / 近似アルゴリズム / 制約充足問題 / 割り当て問題 |
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| Research Abstract |
The problems of deciding whether given two objects, such as graphs and functions, are "essentially" the same or not is called the isomorphism problems. The isomorphism problems have been studied intensively, but whether they are tractable in polynomial time remains open. In this project, I considered a variant of the isomorphism problems in which we compute how close two objects are instead of whether they are the same or not. I obtained several new results about this variant under the paradigms called "property testing" and "approximation algorithms".
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