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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| Co-Investigator(Kenkyū-buntansha) |
平岡 裕章 東北大学, 原子分子材料科学高等研究機構, 教授 (10432709)
樋口 雄介 昭和大学, 教養部, 講師 (20286842)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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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 / エルデシュ・レンニグラフ / リニアル・メシュラム複体 / ランダムセル複体 / エルデシュ・レンニランダムグラフ / クリーク複体 |
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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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Report
(4 results)
Research Products
(9 results)
