2016 Fiscal Year Final Research Report
Random graph and persistent homology
| Project/Area Number |
26610025
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | Kyushu University |
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Principal Investigator |
Shirai Tomoyuki 九州大学, マス・フォア・インダストリ研究所, 教授 (70302932)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | パーシステントホモロジー / ランダムグラフ / ランダム複体 |
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| Outline of Final Research Achievements |
Persistent homology is known as a tool of topological data analysis and we apply it to the theory of random graphs. We emphasize the viewpoint of persistent homology to apply it to random complexes. This study opens a way to analyze a family of random complexes as well as random complexes themselves, and also this enables us to develop the theory of random complexes and provides new viewpoints on this area.
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| Free Research Field |
確率論
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