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Two-colorings of a dense subgroup of \({\mathbb{Q}}^ n\) that forbid many distances

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Publication:913798
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DOI10.1016/0012-365X(90)90033-EzbMath0701.05005OpenAlexW2059169626WikidataQ127613808 ScholiaQ127613808MaRDI QIDQ913798

Peter D. jun. Johnson

Publication date: 1990

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(90)90033-e


zbMATH Keywords

partitionAbelian groupfour-colouring of \(Q^ 4\)two-colouring of \(Q^ 3\)


Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Torsion-free groups, finite rank (20K15)


Related Items

Unnamed Item ⋮ A triangle-free, 4-chromatic \(\mathbb{Q}^3\) Euclidean distance graph Scavenger hunt! ⋮ Distances forbidden by two-colorings of \(\mathbb{Q}^ 3\) and \(A_ n\) ⋮ Distances forbidden by some two-coloring of \(\mathbb{Q}^ 2\) ⋮ Unnamed Item ⋮ Patch colorings and rigid colorings of the rational \(n\)-space ⋮ On Single-Distance Graphs on the Rational Points in Euclidean Spaces



Cites Work

  • Coloring abelian groups
  • Distances forbidden by some two-coloring of \(\mathbb{Q}^ 2\)
  • Unnamed Item
  • Unnamed Item
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