Unexpected Applications of Polynomials in Combinatorics
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erdossurvey.pdf
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260.32 KB
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Adobe PDF
Checksum (MD5)
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Author(s)
Guth, Lawrence
Alternative Title
The Mathematics of Paul Erdős
Date Issued
May 2013
Publisher
Springer
Citation
Guth, Larry. “Unexpected Applications of Polynomials in Combinatorics.” The Mathematics of Paul Erdős I, edited by Ronald L. Graham et al., Springer New York, 2013, pp. 493–522.
Version
Author's final manuscript
Abstract
In the last 6 years, several combinatorics problems have been solved in an unexpected way using high degree polynomials. The most well-known of these problems is the distinct distance problem in the plane. Keywords: Algebraic Structure, Finite Field, Combinatorial Structure, Joint Problem, Partial Symmetry
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/978-1-4614-7258-2_31