2020 Fiscal Year Annual Research Report
| Project/Area Number |
19J12024
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| Research Institution | Hokkaido University |
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Principal Investigator |
TRAN NHAT TAN 北海道大学, 理学研究院, 特別研究員(PD)
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| Project Period (FY) |
2019-04-25 – 2021-03-31
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| Keywords | Combinatorics / Hyperplane Arrangement / Eulerian polynomial / Free arrangement / Graph coloring / Ricci curvature |
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| Outline of Annual Research Achievements |
In this fiscal year, I have been working on a number of projects focused on combinatorics of hyperplane arrangements:
1. (joint with A. Tsuchiya (Tokyo)) Log-concavity of A-Eulerian polynomial (a new concept introduced in a recent paper of A. U. Ashraf (Western Ontario), M. Yoshinaga (Hokkaido) and myself) of cocomparability graphs
2. (joint with T. Abe (Kyushu) and S. Tsujie (Hokkaido)) The freeness of arrangements “between Shi and Ish” (introduced by Duarte and Guedes de Oliveira)
3. (joint with H. C. Mai (Kyoto)) Applications of Ricci curvature to graph colorings
4. (joint with A.Higashitani (Osaka)) Period collapse of characteristic quasi-polynomials using mutations from algebraic geometry
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| Research Progress Status |
令和2年度が最終年度であるため、記入しない。
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| Strategy for Future Research Activity |
令和2年度が最終年度であるため、記入しない。
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Research Products
(9 results)
