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On threshold probabilities for the realization of a random graph by a geometric graph

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Publication:892733
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DOI10.1134/S1064562415040249zbMath1325.05150OpenAlexW2177466741MaRDI QIDQ892733

A. V. Krot

Publication date: 12 November 2015

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

Full work available at URL: https://doi.org/10.1134/s1064562415040249


zbMATH Keywords

diameter graphealization of a random graph


Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Planar graphs; geometric and topological aspects of graph theory (05C10) Distance in graphs (05C12) Graph representations (geometric and intersection representations, etc.) (05C62)




Cites Work

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  • New bounds for the distance Ramsey number
  • Embedding of trees in Euclidean spaces
  • On the realization of random graphs as distance graphs in spaces of fixed dimension
  • Distance Ramsey numbers
  • Two notions of unit distance graphs
  • On a series of Ramsey-type problems in combinatorial geometry
  • Excursions into combinatorial geometry
  • Borsuk's problem and the chromatic numbers of some metric spaces
  • Coloring Distance Graphs and Graphs of Diameters


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