scientific article; zbMATH DE number 7342410

zbMath1471.05070MaRDI QIDQ4987401

Matt Noble

Publication date: 3 May 2021

Full work available at URL: http://math.colgate.edu/~integers/v25/v25.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

graph invariantEuclidean distance graph

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Distance in graphs (05C12) Graph representations (geometric and intersection representations, etc.) (05C62) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Cites Work

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• Two-colorings of a dense subgroup of \({\mathbb{Q}}^ n\) that forbid many distances
• Unit-distance graphs in rational n-spaces
• Distances forbidden by two-colorings of \(\mathbb{Q}^ 3\) and \(A_ n\)
• A remark on lower bounds for the chromatic numbers of spaces of small dimension with metrics \(\ell_1\) and \(\ell_2\)
• New lower bound for the chromatic number of a rational space with one and two forbidden distances
• The Mathematical Coloring Book
• On Single-Distance Graphs on the Rational Points in Euclidean Spaces

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