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Distance Graphs in Vector Spaces Over Finite Fields

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Publication:2840649
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DOI10.1007/978-1-4614-4565-4_14zbMath1278.11012arXiv0804.3036OpenAlexW310653540MaRDI QIDQ2840649

Alexander Iosevich, Steven Senger, Doowon Koh, Ignacio Uriarte-Tuero, Derrick N. Hart

Publication date: 23 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3036


zbMATH Keywords

finite fieldsdistance graphs


Mathematics Subject Classification ID

Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Arithmetic combinatorics; higher degree uniformity (11B30)


Related Items (3)

Pinned distance sets, \(k\)-simplices, Wolff's exponent in finite fields and sum-product estimates ⋮ A General Framework for Studying Finite Rainbow Configurations ⋮ Distribution of the determinants of sums of matrices



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Sum-product estimates via directed expanders
  • Ubiquity of simplices in subsets of vector spaces over finite fields
  • Finite Euclidean graphs and Ramanujan graphs
  • Character tables of association schemes of affine type
  • Finite analogues of Euclidean space
  • Erdös distance problem in vector spaces over finite fields




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