On the Complexity of 2D Discrete Fixed Point Problem
نویسندگان
چکیده
While the 3-dimensional analogue of the Sperner problem in the plane was known to be PPAD-complete, the complexity of the 2DSPERNER itself is not known to be PPAD-complete or not. In this paper, we settle this open problem proposed by Papadimitriou [7] fifteen years ago. This also allows us to derive the computational complexity characterization of a discrete version of the 2-dimensional Brouwer fixed point problem, improving a recent result of Daskalakis, Goldberg and Papadimitriou [2]. Those results will be very useful tools to the study of other related problems.
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عنوان ژورنال:
- Theor. Comput. Sci.
دوره 410 شماره
صفحات -
تاریخ انتشار 2006