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  1. Large grid subsets without many cospherical points
    2025/06/22 by Dong, Zichao, Xu, Zijian · 2 citations
    #05D40 #52C10 #52C35 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics
  2. An improved bound on the number of dot products determined by a finite point set in the plane
    2025/02/18 by Michalis Kokkinos, Kokkinos, Michalis · 1 citation
    Computer Science · Engineering · Mathematics · #11B30 #52C10 #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT) #graph theory and CDMA systems
  3. A note on the no-(d+2)-on-a-sphere problem
    2024/12/03 by Suk, Andrew, White, Ethan Patrick · 2 citations
    #05D40 #52C10 #52C35 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics
  4. Congruence Classes of Simplex Structures in Finite Field Vector Spaces
    2024/08/15 by Cheek, Timothy, Cooper, Joseph, Gilman, Pico +6 · 1 citation
    #52C10 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics
  5. Non-spherical sets versus lines in Euclidean Ramsey theory
    2024/06/11 by Conlon, David, Führer, Jakob · 1 citation
    #05D10 #52C10 #Combinatorics (math.CO) #FOS: Mathematics
  6. Avoiding short progressions in Euclidean Ramsey theory
    2024/04/30 by Gabriel Currier, Currier, Gabriel, Kenneth R. Moore +3 · 2 citations
    Computer Science · Mathematics · #05D10 #11B25 #52C10 #Advanced Topology and Set Theory #Combinatorics (math.CO) #Computability, Logic, AI Algorithms #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT)
  7. Monochromatic infinite sets in Minkowski planes
    2023/08/17 by Frankl, Nóra, Gehér, Panna, Sagdeev, Arsenii +1 · 1 citation
    #05C15 #05D10 #52C10 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
  8. The chromatic number of the plane with an interval of forbidden distances is at least 7
    2023/04/20 by Voronov, Vsevolod · 1 citation
    #52C10 #Combinatorics (math.CO) #FOS: Mathematics
  9. Improved estimates on the number of unit perimeter triangles
    2023/04/08 by Goenka, Ritesh, Moore, Kenneth, White, Ethan Patrick · 1 citation
    #52C10 #Combinatorics (math.CO) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Metric Geometry (math.MG)
  10. Threshold functions for incidence properties in finite vector spaces
    2022/03/24 by Kim, Jeong Han, Lund, Ben, Pham, Thang +1 · 1 citation
    #05D40 #52C10 #Combinatorics (math.CO) #FOS: Mathematics
  11. Improved bounds for the expected number of k-sets
    2021/06/09 by Leroux, Brett, Rademacher, Luis · 1 citation
    #05C30 #52C05 #52C10 #60D05 #68Q25 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG) #Probability (math.PR)
  12. Model-theoretic Elekes-Szabó for stable and o-minimal hypergraphs
    2021/04/06 by Chernikov, Artem, Peterzil, Ya'acov, Starchenko, Sergei · 1 citation
    #03C45 #52C10 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)
  13. On the number of dot product chains in finite fields and rings
    2021/01/09 by Vincent Blevins, David L. Crosby, Blevins, Vincent +5 · 2 citations
    Computer Science · Mathematics · #51A20 #52C10 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory
  14. Zarankiewicz's problem for semilinear hypergraphs
    2020/09/07 by Basit, Abdul, Chernikov, Artem, Starchenko, Sergei +2 · 1 citation
    #03C45 #03C64 #05D10 #52C10 #52C45 #Combinatorics (math.CO) #FOS: Mathematics #Logic (math.LO)
  15. A point-sphere incidence bound in odd dimensions and applications
    2020/04/26 by Doowon Koh, Koh, Doowon, Thang V. Pham +1 · 2 citations
    Computer Science · Mathematics · #11T23 #42B05 #52C10 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Approximation and Integration
  16. On the finite field cone restriction conjecture in four dimensions and applications in incidence geometry
    2020/04/14 by Koh, Doowon, Lee, Sujin, Pham, Thang · 2 citations
    #11T23 #42B05 #52C10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  17. The Spherical Kakeya Problem in Finite Fields
    2020/04/02 by Makhul, Mehdi, Warren, Audie, Winterhof, Arne · 1 citation
    #05B25 #11T99 #52C10 #Combinatorics (math.CO) #FOS: Mathematics
  18. The Lemmens-Seidel conjecture and forbidden subgraphs
    2020/03/17 by Cao, Meng-Yue, H, Jack, Koolen +2 · 2 citations
    #52C10 #Combinatorics (math.CO) #FOS: Mathematics #Primary 05C50 #secondary 05C22
  19. Planar Point Sets Determine Many Pairwise Crossing Segments
    2019/04/18 by Pach, János, Rubin, Natan, Tardos, Gábor · 1 citation
    #05C10 #05C35 #05D10 #05D40 #06C15 #52C10 #52C30 #52C45 #Combinatorics (math.CO) #Computational Geometry (cs.CG) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #G.2.1 #G.2.2
  20. Covering lattice points by subspaces and counting point-hyperplane incidences
    2017/03/14 by Balko, Martin, Cibulka, Josef, Valtr, Pavel · 1 citation
    #52C07 #52C10 #Combinatorics (math.CO) #FOS: Mathematics #G.2.1
  21. On the Circle Covering Theorem by A. W. Goodman and R. E. Goodman
    2016/05/13 by Akopyan, Arseniy, Balitskiy, Alexey, Grigorev, Mikhail · 1 citation
    #52C10 #52C17 #FOS: Mathematics #Metric Geometry (math.MG)
  22. Elementary methods for incidence problems in finite fields
    2014/07/09 by Cilleruelo, Javier, Iosevich, Alex, Lund, Ben +2 · 1 citation
    #52C10 #Combinatorics (math.CO) #FOS: Mathematics
  23. Long paths in the distance graph over large subsets of vector spaces over finite fields
    2014/05/31 by Bennett, M., Chapman, J., Covert, D. +3 · 1 citation
    #52C10 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
  24. The square root law and structure of finite rings
    2014/05/29 by Alex Iosevich, Iosevich, A., Thomas Brendan Murphy +3 · 1 citation
    Mathematics · #11L07 #52C10 #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT)
  25. Shellable drawings and the cylindrical crossing number of Kn
    2013/09/14 by Bernardo M. Ábrego, Oswin Aichholzer, Ábrego, Bernardo M. +7 · 1 citation
    Computer Science · Engineering · #05C10 #05C62 #52C10 #Combinatorics (math.CO) #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #FOS: Computer and information sciences #FOS: Mathematics #graph theory and CDMA systems
  26. Distance sets of two subsets of vector spaces over finite fields
    2012/12/21 by Koh, Doowon, Sun, Hae-Sang · 1 citation
    #11T23 #52C10 #Combinatorics (math.CO) #FOS: Mathematics
  27. On the Mattila-Sjolin theorem for distance sets
    2011/10/31 by Iosevich, Alex, Mourgoglou, Mihalis, Taylor, Krystal · 1 citation
    #28A75 #42B35 #52C10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG)
  28. Simple Proofs of Classical Theorems in Discrete Geometry via the Guth--Katz Polynomial Partitioning Technique
    2011/02/26 by Kaplan, Haim, Matoušek, Jiří, Sharir, Micha · 1 citation
    #52C10 #Combinatorics (math.CO) #FOS: Mathematics
  29. Tight lower bounds for the size of epsilon-nets
    2010/12/06 by Pach, János, Tardos, Gábor · 2 citations
    #05B40 #52C10 #52C35 #68U05 #Computational Geometry (cs.CG) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences
  30. On directions determined by subsets of vector spaces over finite fields
    2010/10/05 by Iosevich, Alex, Morgan, Hannah, Pakianathan, Jonathan · 1 citation
    #42B05 #52C10 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

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