2011 Fiscal Year Final Research Report
A study on local deformations for graphs on surfaces focusing on algebraic invariants
| Project/Area Number |
21740088
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Niigata University (2011)
Tsuruoka National College of Technology (2009-2010) |
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Principal Investigator |
SUZUKI Yusuke 新潟大学, 自然科学系, 准教授 (10390402)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 偶三角形分割 / 閉曲面 / 三角形分割 / 四角形分割 / モノドロミー / 局所変形 / グラフ |
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| Research Abstract |
Although there are many results on diagonal flips for triangulations on surfaces, it becomes difficult if we consider a local deformation for even triangulations or quadrangulations which preserves the regularity of those graphs(algebraic invariants for graphs on surfaces should be focused in this case). We considered problems around here and could obtain some results on them. Especially, we proved that any two k-minimal quadrangulations on the projective plane can be transformed into each other by a sequence of Y-rotations.
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Research Products
(23 results)
