کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10118823 | 1632912 | 2018 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A polynomial bound for the arithmetic k-cycle removal lemma in vector spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
For each kâ¥3, Green proved an arithmetic k-cycle removal lemma for any abelian group G. The best known bounds relating the parameters in the lemma for general G are of tower-type. For k>3, even in the case G=F2n no better bounds were known prior to this paper. This special case has received considerable attention due to its close connection to property testing of boolean functions. For every kâ¥3, we prove a polynomial bound relating the parameters for G=Fpn, where p is any fixed prime. This extends the result for k=3 by the first two authors. Due to substantial issues with generalizing the proof of the k=3 case, a new strategy is developed in order to prove the result for k>3.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 160, November 2018, Pages 186-201
Journal: Journal of Combinatorial Theory, Series A - Volume 160, November 2018, Pages 186-201
نویسندگان
Jacob Fox, László Miklós Lovász, Lisa Sauermann,