Locally 2-dimensional Sperner problems complete for the polynomial parity argument classes

被引:0
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作者
Friedl, Katalin
Ivanyos, Gabor
Santha, Miklos
Verhoeven, Yves F.
机构
[1] BME, H-1521 Budapest, Hungary
[2] MTA SZTAKI, H-1518 Budapest, Hungary
[3] Univ Paris 11, CNRS, LRI, UMR 8623, F-91405 Orsay, France
[4] Ecole Natl Super Telecommun Bretagne, F-75013 Paris, France
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中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we define three Sperner problems on specific surfaces and prove that they are complete respectively for the classes PPAD, PPADS and PPA. This is the first time that locally 2-dimensional Sperner problems are proved to be complete for any of the polynomial parity argument classes.
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页码:380 / 391
页数:12
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