Are There n + 2 Points in E n With Odd Integral Distances?

DOI10.2307/2318906zbMath0277.10021OpenAlexW4239657944MaRDI QIDQ4402012

Ernst Gabor Straus, Bruce L. Rothschild, Ronald L. Graham

Publication date: 1974

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2318906

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31)

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The odd-distance plane graph, Open sets avoiding integral distances, Every graph is an integral distance graph in the plane, The maximum number of odd integral distances between points in the plane, Euclidean embeddings of finite metric spaces, Odd-distance sets and right-equidistant sequences in the maximum and Manhattan metrics, Minimal graphs with respect to geometric distance realizability, Forbidden Subgraphs of the Odd‐Distance Graph, Distances in positive density sets in \(\mathbb R^d\), The Hadwiger–Nelson Problem, Odd-distance and right-equidistant sets in the maximum and Manhattan metrics, Ernst G. Straus (1922-1983)