The Maximal Number of 3-Term Arithmetic Progressions in Finite Sets in Different Geometries
Author:
Funder
Israel Science Foundation
Publisher
Springer Science and Business Media LLC
Subject
Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science
Link
https://link.springer.com/content/pdf/10.1007/s00454-021-00365-6.pdf
Reference17 articles.
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2. Akutsu, T., Tamaki, H., Tokuyama, T.: Distribution of distances and triangles in a point set and algorithms for computing the largest common point sets. Discret. Comput. Geom. 20(3), 307–331 (1998)
3. Ballmann, W., Gromov, M., Schroeder, V.: Manifolds of Nonpositive Curvature. Progress in Mathematics, vol. 61. Birkhäuser, Boston (1985)
4. Bhattacharya, B.B., Ganguly, S., Shao, X., Zhao, Y.: Upper tail large deviations for arithmetic progressions in a random set. Int. Math. Res. Not. IMRN 2020(1), 167–213 (2020)
5. Bridson, M.R., Haefliger, A.: Metric Spaces of Non-Positive Curvature. Grundlehren der Mathematischen Wissenschaften, vol. 319. Springer, Berlin (1999)
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