3 citations · 13 across the 18 of their papers we have counts for
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math.GT2014★ 3 cited
On the Minimum Area of Null Homotopies of Curves Traced Twice
Zipei Nie
We provide an efficient algorithm to compute the minimum area of a homotopy between two closed plane curves, given that they divide the plane into finite number of regions. For any…
math.CO2014
Hilbert Functions and the Finite Degree Zariski Closure in Finite Field Combinatorial Geometry
Zipei Nie, Anthony Y. Wang
The polynomial method has been used recently to obtain many striking results in combinatorial geometry. In this paper, we use affine Hilbert functions to obtain an estimation theor…