Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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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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