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Approximating Euclidean distances by small degree graphs

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Publication:1317879
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DOI10.1007/BF02574005zbMath0790.51010MaRDI QIDQ1317879

V. Pereyra

Publication date: 26 June 1994

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131299


zbMATH Keywords

approximating Euclidean distancesbounded degree spanners


Mathematics Subject Classification ID

Distance in graphs (05C12) General theory of distance geometry (51K05)


Related Items

\( \delta \)-greedy \(t\)-spanner ⋮ Euclidean spanner graphs with degree four ⋮ Computing the greedy spanner in near-quadratic time ⋮ An Optimal Dynamic Spanner for Doubling Metric Spaces ⋮ The Weak Gap Property in Metric Spaces of Bounded Doubling Dimension



Cites Work

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  • An O(n log n) algorithm for the all-nearest-neighbors problem
  • Classes of graphs which approximate the complete Euclidean graph
  • On sparse spanners of weighted graphs
  • A sparse graph almost as good as the complete graph on points in \(k\) dimensions
  • Graph spanners
  • Generating sparse spanners for weighted graphs
  • The Closest Packing of Spherical Caps in n Dimensions
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