A Study of the Model Theory of Random Graphs
| Project/Area Number |
19540150
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Hosei University |
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Principal Investigator |
IKEDA Koichiro Hosei University, 経営学部, 教授 (60332029)
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| Co-Investigator(Kenkyū-buntansha) |
TSUBOI Akito 筑波大学, 数理物質科学研究科, 教授 (30180045)
KIKYO Hirotaka 神戸大学, 工学研究科, 教授 (80204824)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 数学基礎論 / モデル理論 / ランダムグラフ / ジェネリック構造 / 安定性理論 / Lachlan予想 / ω安定 / 超安定 / Generic構造 / Zero-one law |
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| Research Abstract |
Our aim is to study generic structures as a generalization of random graphs, and moreover to construct a counter-example of Lachlan conjecture using the generic construction. One of our results is a theorem which gave a solution of Baldwin's problem. Another is a theorem which proved that it was difficult to construct a counter-example of Lachlan conjecture using the generic construction.
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Report
(4 results)
Research Products
(42 results)
